find the HCF by long division method. Q a 575 and875
Answers
Answer:
575=5×115
=5×5×23
920=10×92
=10×23×4
=5×2×23×4
=5×2×23×2×2
takecommonfactorsof575and920
commonfactors=5and23
takemultiplicationofthesecommomfactors
23×5=115
thereforethehcf=115
=> UNDERSTANDING HCF <=
HCF a.k.a Highest Common Factor is the greatest number which divides each of the two or more numbers is called HCF or Highest Common Factor.
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=> Solution <=
- To Find: HCF of 575 & 875
First lets find the shortest possible number that is divisible by both these numbers. Say, 5, Since both of the numbers are ending with 5, they are divisible by 5!
|> Dividing 575 & 875 by 5,
> 575 / 5 = 115
> 875 / 5 = 175
° Again both numbers are divisible by 5!
|> Dividing 115 & 175 by 5,
> 115 / 5 = 23
> 175 / 5 = 35
° Now we can see that no numbers are divisible by these two numbers!
∴ To find HCF of these numbers we must multiply the divisors of both the division.
ie, First case: We divided both numbers by 5 and in second case we divided both numbers again by 5.