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What is the HCF of two consecutive(a)  ...

What is the HCF of two consecutive(a)  numbers?        (b) even numbers?       (c) odd numbers?

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1. `(a) HCF= 1,2,3`
` 2=1*2 , 3=1*3`
`:. HCF = 1`
`(b) HCF = 2, 4, 6`
`4=2*2 , 6=2*3`
`:. HCF= 2`
`(c) HCF= 1,3,5`
``3=1*3, 5=1*5
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1) what is the HCF of 2 consecutive numbers (i) numbers (ii)even nos (iii)odd nos 2) HCF of co-prime numbers 4 and 15 was found as follows by factorisation: and since there is no common prime factor,so HCF of 4 and 15 is 0. Is the answer correct? If not,what is the correct HCF?