The HCF of 135 and 225 is .
By Euclid’s division algorithm, we have
225=1×135+90,
135=1×90+45 and
90=2×45+0.
Hence, HCF(225,135) = HCF(135,90) = HCF(90,45) = 45.
∴ The HCF of 135 and 225 is 45.
Step1: 225 = 135 × 1 + 90
Step2: 135 = × 1 + 45
Step3: 90 = 45 × 2 + 0
Hence, is the HCF of 135 and 225.
Using Euclid's division algorithm, find the HCF of 135 and 225.