Find the HCF of 135 and 255 using Euclid’s Division Algorithm.

Sure, here are the steps to find the HCF of 135 and 255 using Euclid’s Division Algorithm:

Step 1: We start by dividing the larger number by the smaller number. So, we divide 255 by 135. The quotient is 1 and the remainder is 120.

Step 2: Now, we divide the previous divisor (135) by the remainder we just got (120). The quotient is 1 and the remainder is 15.

Step 3: We repeat the process and now divide 120 (the previous divisor) by 15 (the remainder from the last division). The quotient is 8 and the remainder is 0.

Step 4: When the remainder becomes 0, the divisor at this stage (15) will be the HCF of 135 and 255.

So, the HCF of 135 and 255 is 15.