Question

hcf of 106 159 265 with L division method

Answer 1

Answer:

HCF of 106, 159 and 265 can be represented as HCF of (HCF of 106, 159) and 265. HCF(106, 159, 265) can be thus calculated by first finding HCF(106, 159) using long division and thereafter using this result with 265 to perform long division again.

Step 1: Divide 159 (larger number) by 106 (smaller number).

Step 2: Since the remainder ≠ 0, we will divide the divisor of step 1 (106) by the remainder (53). Repeat this process until the remainder = 0.

⇒ HCF(106, 159) = 53.

Step 3: Now to find the HCF of 53 and 265, we will perform a long division on 265 and 53.

Step 4: For remainder = 0, divisor = 53 ⇒ HCF(53, 265) = 53

Thus, HCF(106, 159, 265) = HCF(HCF(106, 159), 265) = 53.

Step-by-step explanation: