# Problems on HCF

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## Problems on HCF Shortcut Tricks

**Common Multiple: **Defined as number which is exactly divisible by each of the numbers under consideration. **Example ** 4 is a common factor of 8, 12, 16, 20, 24

**Highest Common Multiple(HCF): **HCF of two or more numbers is the greatest number that divides each of them exactly.

### Method of Prime Factors

Break the given numbers into prime factors and find the product of common prime factors, product will be HCF.

### Find the HCF of 42 and 70

## Solution

42=2*3*7, 70=2*5*7 So HCF will be 2*7 =14 Find the HCF of 24, 45, 60 Solution- 24 = 2*2*2*3 45= 3*3*5 60= 2*2*3*5 So HCF of 24, 45 and 60 is 3

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