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प्रश्न
If a and b are two positive co-prime integers such that a = 12b, then HCF (a, 12) = ______.
रिकाम्या जागा भरा
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उत्तर
If a and b are two positive co-prime integers such that a = 12b, then HCF (a, 12) = 12.
Explanation:
a = 12b and gcd(a, b) = 1.
But gcd(12b, b) = b, so b = 1 and hence a = 12.
Therefore HCF(a, 12) = HCF(12, 12) = 12.
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