**Step 1:** Choose bigger number: 1575 > 960

On dividing 1575 by 960, we have

Quotient = 1, remainder = 615

1575 = 960 x 1 + 615

**Step 2:** On dividing 960 by 615, we have

Quotient = 1 and Remainder = 345

960 = 615 × 1 + 345

**Step 3:** On dividing 615 by 345

Quotient = 1 and Remainder = 270

615 = 345 × 1 + 270

**Step 4:** On dividing 345 by 270, we have

Quotient = 1 and Remainder = 75

345 = 270 × 1 + 75

**Step 5:** Dividing 270 by 75, we get

Quotient = 3, remainder =45

270 = 75 × 3 + 45

**Step 6:** Dividing 75 by 45, we get

Quotient = 1, remainder = 30

75 = 45 × 1 + 30

**Step 7:** Dividing 45 by 30, we get

Quotient = 1 and Remainder = 15

45 = 30 × 1 + 15

**Step 8:** Dividing 30 by 15, we get

Quotient = 2 and Remainder = 0

Since remainder is zero, stop the process and write your answer.

**Therefore, H.C.F. of 1575 and 960 is 15.**