Hcf by long division method class 6

Example: Find HCF of 18 and We can find HCF of 18 and 48 by finding the highest common factors of 18 and HCF of numbers can also be found by prime factorization of the numbers. Example: Find the HCF of 30 and

As we all know, the Highest Common Factor HCF as the name itself says, it's the method of finding the highest common factors of two or more than two numbers. It's the highest common number that can divide the given two or more two positive numbers equally. There are different methods through which we can find out the HCF of given numbers. Of Course, it can be used to find the HCF of small numbers but when it comes to large numbers , then the most suitable method is the Long Division Method. Come on, let us understand HCF by the long division method step by step with a few examples along the way.

Hcf by long division method class 6

Both the methods are explained here with many examples. We have provided the prime factors of the given numbers, such as 24, 12, 30, , etc. The least or smallest common multiple of any two or more given natural numbers are termed as LCM. The largest or greatest factor common to any two or more given natural numbers is termed as HCF of given numbers. In the prime factorization method , given numbers are written as the product of prime factors. While in the division method, given numbers are divided by the least common factor and continue still remainder is zero. Note: Prime numbers are numbers which have only two factors i. Here, given natural numbers are written as the product of prime factors. The lowest common multiple will be the product of all prime factors with the highest degree power. Step 1: To find LCM of 20 and 12, write each number as a product of prime factors. Here we have 2 with highest power 2 and other prime factors 3 and 5. Multiply all these to get LCM. In this method, divide the given numbers by common prime number until the remainder is a prime number or one. LCM will be the product obtained by multiplying all divisors and remaining prime numbers. Step 2: Write the quotient and the number which is not divisible by the above prime number in the second row.

Thus, the LCM of 60, 84, and is obtained by multiplying the prime factors raised to their respective highest power. HCF of two prime numbers is 1. So, the product of the divisor gives the result of LCM of 60, 84, and

The HCF of two numbers can be determined in a variety of methods. Using the prime factorization method is one of the easiest ways to get the HCF of two or more numbers. In this article, we will learn how to find HCF by long division method with some examples. Follow the Steps for a better understanding:. Step 1: We first need to find out the HCF of the first two given numbers. Step 3: We mark the highest factor among which we found common.

You have different questions for more practicing purposes. Students who feel finding the Highest Common Factors using the division method concept difficult and confusing can easily find HCF after referring to this article. Practice the problems given here on How to find HCF and enhance your math skills. The division method is nothing but dividing the given number, simultaneously, to induce the common factors between them. The following are the steps to find Highest Common Factor using the division method, Step 1: In this method, first we have to treat the smaller number as the divisor and the bigger number as the dividend. Step 2: Now, Divide the given number until you get the remainder value as 0. Step 3: We are about to get the common prime factors because the factors within the left-hand side divide all the numbers exactly. The product of those common factors is that the HCF of the given numbers. Solution: Given the values are 75,

Hcf by long division method class 6

HCF of two numbers is the highest factor that can divide the two numbers, evenly. HCF can be evaluated for two or more than two numbers. It is the greatest divisor for any two or more numbers, that can equally or completely divide the given numbers.

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Equivalence Relation. For Example: The Highest common factor of 60 and 75 is 15 because 15 is the largest number which can divide both 60 and 75 exactly. It is the greatest divisor for any two or more numbers that can equally or completely divide the given numbers. One of the HCF is number 7, what are the numbers? First of all, arrange the given numbers in ascending order. Here we have 2 with highest power 2 and other prime factors 3 and 5. Step 2: The LCM of the given number is obtained by multiplying the prime factors raised to their respective highest power. Step 2: Continue still there is no more common prime factor. HCF of two prime numbers is 1. We will discuss the division method in this article. Divide 24 by remainder 6.

As we all know, the Highest Common Factor HCF as the name itself says, it's the method of finding the highest common factors of two or more than two numbers. It's the highest common number that can divide the given two or more two positive numbers equally. There are different methods through which we can find out the HCF of given numbers.

Divide the first divisor by the first remainder. Example 5: 2 given numbers are in the ratio Use this Google Search to find what you need. Post My Comment. One of the HCF is number 7, what are the numbers? Now, remainder is 0. Because prime numbers are those numbers that have only two factors, either 1 or the number itself. Hence, the HCF of 20 and 34 is 2. Divide the second divisor by the second remainder. The value of HCF of the count of chocolates and candies that needs to be found gives the count of the students. So, further division is not possible and the last divisor 9 becomes the HCF of 27 and Ans: 2. As we can note that the mentioned prime factors, on the left side, divide all the numbers exactly.