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Use the division method on 132 and 220 — divide the larger by the smaller, then keep dividing the previous divisor by the remainder until the remainder is 0. What is the HCF?

Class 6Playing with NumbersPlaying with Numbers
  • A11
  • B22
  • C44
  • D660

Step-by-Step Solution

220 ÷ 132 = 1 remainder 88; 132 ÷ 88 = 1 remainder 44; 88 ÷ 44 = 2 remainder 0. The last divisor is the HCF, 44 — and indeed and . The traps: 11 and 22 are common factors but not the highest, and 660 is the LCM.
Answer: C) 44

Key idea: HCF and LCM — the two ends of common ground

**HCF** (Highest Common Factor) is the biggest number that divides both numbers — it sits at the *small* end of common factors. **LCM** (Least Common Multiple) is the smallest number both numbers divide — it sits at the *small* end of common multiples (which is the *big* side of factors). For Class 6, the simplest method is listing: write all the factors (or first several multiples) of each number and pick the right one. Faster methods come in Class 7.

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