To Find the Highest Common Factor of Three Numbers by using Division Method

To find the highest common factor of three numbers by using division method is discussed here step by step.

Step I:

First of all find the highest common factor (H.C.F) of any two of the given numbers.

Step II:

Now find the highest common factor (H.C.F) of the third given number and the highest common factor (H.C.F) obtained in Step 1 from first and the second number.

Let us consider some examples to find the highest common factor (H.C.F) of three numbers by division method.

1. Find highest common factor (H.C.F) of 184, 230 and 276 by using division method.

Solution:

Let us find the highest common factor (H.C.F) of 184 and 230.

$H.C.F of 184, 230 and 276 by using Division Method$

Highest common factor of 184 and 230 = 46.

Now find the H.C.F. of 276 and 46.

$H.C.F. of 276 and 46$

Highest common factor of 276 and 46 = 46.

Therefore, required highest common factor (H.C.F) of 184, 230 and 276 = 46.

2. Find highest common factor (H.C.F) of 136, 170 and 255 by using division method.

Solution:

Let us find the highest common factor (H.C.F) of 136 and 170.

$H.C.F of 136, 170 and 255 by using Division Method$

Highest common factor of 136 and 170 = 34.

Now find the H.C.F. of 34 and 255.

$H.C.F. of 34 and 255$

Highest common factor of 34 and 255 = 17.

Therefore, required highest common factor (H.C.F) of 136, 170 and 255 = 17.

3. Using long division method, find H.C.F of 891, 1215 and 1377.

Solution:

$H.C.F of 891, 1215 and 1377$

Therefore, highest common factor of 891 and 1215 is 81 and now we shall find H.C.F of 81 and 1377.

$H.C.F of 81 and 1377$

Therefore, H.C.F. of 891, 1215 and 1377 is 81.

4. Find the HCF of 216, 468 and 828 by division method.

Solution:

Step 1: We will first find HCF of 216 and 828

$HCF of 216 and 828$

Step 2: Now find HCF of 36 and 468.

$HCF of 36 and 468$

Hence, HCF of 216, 468 and 828 is 36

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