Use euclids division algorithm to find the Hcf of 455 and 42
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Euclid's division algorithm is an algorithm which is used to find the (highest common factor) HCF of two or three positive given numbers.
Explanation:
Given : the two numbers 455 and 42
To find: HCF of these two numbers
Solution:
formula used : a= bq+r
a stands for dividend
b stands for divisor
q stands for quotient
r stands for remainder
so here, dividend = 455
divisor = 42
455= 42× 10 + 35
42= 35×1 + 7
35= 7×5+0
whenever we get 0 as remainder then the divisor will be our HCF.
HCF = 7
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