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Question

Which of the following is not a method for finding the HCF?


A

Prime Factor Method

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B

Common Factor Method

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C

Common Division Method

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D

Division Method

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Solution

The correct option is C

Common Division Method


1.) Prime Factor method is a method of finding HCF where each number is prime factorized and the common prime factors are used to get the HCF.

2.) In Common Factor method, all the factors of the given numbers are listed. Then, the common factors are marked. The greatest of those common factors will be the HCF of those numbers.

3.) Common division method is not a method of finding HCF. It is used to find the LCM. In this method, all the given numbers are listed side by side. Then, they are divided by a suitable prime number which divides most of the given numbers. Their quotients are noted down and the previous step is repeated till there is a prime number in the dividend. The product of all the divisors will give the LCM.

4.) Division method is a method of finding HCF of 2 numbers where the larger of the two numbers is divided by the smaller of the two numbers to get a remainder. The divisor is then divided by the remainder until there is no remainder.


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