What is the Hcf of 70,210,315
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Answer:
35
Explanation:
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Let us use prime factorization method to find out HCF
70 = 2*7*5
210 = 2*5*7*3
315 = 5*3*3*7
Note that 2 is a prime factor of the number 70 and 210 only and it is not a factor of 315, hence cannot be considered for HCF. Similarly, 3 is a factor of 210 and 315 but not a factor of 70, hence cannot be considered for HCF.
Now, consider the common factors of above 3 numbers. They are 5 and 7 only. So, HCF is 5*7 =35
70 = 2*7*5
210 = 2*5*7*3
315 = 5*3*3*7
Note that 2 is a prime factor of the number 70 and 210 only and it is not a factor of 315, hence cannot be considered for HCF. Similarly, 3 is a factor of 210 and 315 but not a factor of 70, hence cannot be considered for HCF.
Now, consider the common factors of above 3 numbers. They are 5 and 7 only. So, HCF is 5*7 =35
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