Question

HCF of 225 and 625 in long division method​

Answer 1

Answer:

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Answer 2

Answer:

• The HCF of 225 and 625 in long division method is 25

Step-by-step explanation:

To solve this,we need to know what is long division method

what is long division method?

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.

Given that,

225 and 625 are two numbers

STEP -1:-

Divide the large number by the smaller one.

Here 625 is large number and is divided with 225

• 225 is divisor
• 625 is dividend

225 ) 625 ( 2

450

--------

175 ------->>> Remainder

STEP-2 :-

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

• 175 is divisor
• 225 is dividend

175 ) 225 ( 1

175

-------

50 ------->>> Remainder

STEP -3:-

Repeat the step-2

• 50 is divisor
• 175 is dividend

50 ) 175 ( 3

150

------

25 ---------> Remainder

STEP-4:-

Continue this process till the remainder becomes zero

Now,

• 25 is divisor
• 50 is dividend

25 ) 50 ( 2

50

------

0--------->>> Remainder

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.

Here,the last divisor is 25

So,highest common factor (H.C.F) of 225 and 625 is 25