Question

HCF of 180,75,225 by long division method​

Answer 1

Answer:

HCF = 180

Step-by-step explanation:

HCF of 180, 75 and 225 can be represented as HCF of (HCF of 180, 75) and 225. HCF(180, 75, 225) can be thus calculated by first finding HCF(180, 75) using long division and thereafter using this result with 225 to perform long division again.

Step 1: Divide 225 (larger number) by 75 (smaller number).

Step 2: Since the remainder ≠ 0, we will divide the divisor of step 1 (75) by the remainder (3). Repeat this process until the remainder = 0.

⇒ HCF(225,75) = 25.

Step 3: Now to find the HCF of 25 and 180, we will perform a long division on 324 and 36.

Step 4: For remainder = 0, divisor = 7.2 ⇒ HCF(25, 180) = 7.2

Thus, HCF(180, 75 ,225) = 25 x 7.2 = 180