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Standard X
Mathematics
HCF Using Euclid's Division Algorithm
Find the H.C....
Question
Find the H.C.F. of 396 and 300 using Euclid's algorithm.
A
12
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B
8
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C
3
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D
15
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Solution
The correct option is
A
12
396 and 300 are the given numbers.
Using Euclid's algorithm,
396
=
300
×
1
+
96
300
=
96
×
3
+
12
96
=
12
×
8
+
0
Since, the remainder has become 0, the divisor will be the HCF of 396 and 300.
∴
HCF = 12
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