Formula of HCF pliz tell me
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Answer:
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Step-by-step explanation:
Product of two numbers = (their H.C.F.) × (their L.C.M.) .
Highest Common Factor(HCF) of two or more numbers is the greatest number which divides each of them exactly.
Greatest Common Measure(GCM) and Greatest Common Divisor(GCD) are the other terms used to refer HCF.
Example : HCF of 60 and 75 = 15 because 15 is the highest number which divides both 60 and 75 exactly.
We can find out HCF using prime factorization method or by dividing the numbers or division method.
How to find out HCF using prime factorization method
Step 1: Express each number as a product of prime factors. (Reference: Prime Factorization)
Step 2: HCF is the product of all common prime factors using the least power of each common prime factor.
Example 1: Find out HCF of 60 and 75
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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