Question

HCF of 36 and 576 by division method​

Answer 1

Answer:

see this example

Step-by-step explanation:

We have been provided the values:

180,252,576

Since using division method:

Step 1.

Hence,quotient

Remainder

Now:

Step 2.

Quotient

Remainder

And

Step 3.

Quotient

Remainder

Hence in this process we get the value 36.

Again dividing 576 by 36 we get:

Step 4.

Quotient

Remainder

Therefore the hcf is 36.

Answer 2

Answer:

Step-by-step explanation:

To find highest common factor by using division method is discussed here.

Finding highest common factor (H.C.F) by prime factorization for large number is not very convenient. The method of long division is more useful for large numbers. In this method we first divide the greater number by the smaller number. The remainder becomes the new divisor and the previous divisor as the new dividend. We continue the process until we get 0 remainder.We use the repeated division method for finding highest common factor (H.C.F) of two or more numbers.

Step I:

Divide the large number by the smaller one.

Step II:

Then the remainder is treated as divisor and the divisor as dividend.

Step III:

Divide the first divisor by the first remainder.

Step IV:

Divide the second divisor by the second remainder.

Step V:

Continue this process till the remainder becomes 0.

Step VI:

The divisor which does not leave a remainder is the H.C.F. or G.C.D. of the two numbers and thus, the last divisor is the required highest common factor (H.C.F) of the given numbers.