find HCF of 2400 and 6552 using Euclid division algorithm
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Given Numbers are 240 and 6552. To find: HCF. We find HCF using Euclid division algorithm. Euclid division algorithm states that given no. will be written in form of. 6552 = 240 × 27 + 72. 72 = 24 × 3 + 0. So, we get r = 0. ⇒ HCF = 24.
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By usnig Euclid Division Algorithm
We get :-
=> 6552 = 2400 × 2 + 1752
=> 2400 = 1752 × 1 + 648
=> 1752 = 648 × 2 + 456
=> 648 = 456 × 1 + 192
=> 456 = 192 × 2 + 72
=> 192 = 72 × 2 + 48
=> 72 = 48 × 1 + 24
=> 48 = 24 × 2 + 0
Hence,
H. C. F ( 6552 , 2400) = 24
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