We will learn step-by-step with the help of examples to find highest common factor of two numbers by using division method.

**1.** Find highest common factor (H.C.F) of 180 and 270 by using division method. **Solution:**

**Step I: **Here we need to divide 270 by 180.

[Divide the larger number by the smaller one].

**Step II: **The first divisor is 180 and the remainder is 90, so we need to divide 180 by 90.

[Divide the first divisor by the first remainder].

**Step III: **The remainder becomes 0.

**Step IV: **Therefore, highest common factor = 90.

[The last divisor is the required highest common factor (H.C.F) of the given numbers].**2.** Find highest common factor (H.C.F) of 852 and 1065 by using division method. **Solution:**

**Step I: **Here we need to divide 1065 by 852.

[Divide the larger number by the smaller one]. **Step II: **The first divisor is 852 and the remainder is 213, so we need to divide 852 by 213.

[Divide the first divisor by the first remainder]. **Step III: **The remainder becomes 0. **Step IV: **Therefore, highest common factor = 213.

[The last divisor is the required highest common factor (H.C.F) of the given numbers].

**3.** Find the H.C.F. of 300 and 396 by long division method.

**Solution:**

300, 396

So, highest common factor = 12

The long division method is used to find the H.C.F. of large numbers.

**● Factors.**

**● Highest Common Factor (H.C.F).**

**● Examples on Highest Common Factor (H.C.F).**

**● Greatest Common Factor (G.C.F).**

**● Examples of Greatest Common Factor (G.C.F).**

**● To find Highest Common Factor by using Prime Factorization Method.**

**● Examples to find Highest Common Factor by using Prime Factorization Method.**

**● To find Highest Common Factor by using Division Method.**

**● Examples to find Highest Common Factor of two numbers by using Division Method.**

**● To find the Highest Common Factor of three numbers by using Division Method.**

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