how to find HCF of any number
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Division method: This method uses successive division to find the HCF. To find the HCF of two numbers N1 and N2, the smaller of the two, say N1, divides N2. The remainder R1 then divides N1 followed by the remainder R2 dividing R1, and so on till a remainder of 0 is reached. The last divisor is HCF.
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Step 1 : Express each number as a product of prime factors.
60 = 22 × 3 × 5
75 = 3 × 52
Step 2: HCF is the product of all common prime factors using the least power of each common prime factor.
Here, common prime factors are 3 and 5
The least power of 3 here = 3
The least power of 5 here = 5
Hence, HCF = 3 × 5 = 15
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