Question

Find the HCF by successive division method.
192, 224, 256

Answer 1

Hint: In order to solve this problem divide the numbers provided in the question by the smallest number provided in the question then you will get a remainder. After that divide the smallest number from the remainder you got earlier do the same with the other numbers doing this will give you the HCF of the numbers provided.

Complete step-by-step answer:
Here we need to find the Highest common factor of 192, 224, 256 by successive division method.
On dividing 224 by 192 we get the remainder as 32.
Then we divide 192 by 32 and we get the remainder as 0.
So, from here we come to know that 32 is the H.C.F. of 192 and 224.
Let us check if 32 is the factor of 256.
When we divide 256 by 32 we get the remainder as 0.
So, 32 is the HCF of 192, 224, 256.
This method is called the Successive division method of finding HCF.

Note: In order to confirm whether your solution is correct or not you can check it by finding HCF by general method of taking factors common and then multiplying this will make you sure about your solution. As the name suggests successive division since we divide the numbers by remainders successively until the remainder is zero and then you will be getting a largest number which is the factor of all the numbers.