If the HCF of two mmbers is 17 and LCM is 1309, which of the given options could be one of the two numbers ?
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Step-by-step explanation:
119 is the answer for the given question
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Given : HCF of two numbers is 17 and LCM is 1309,
To Find : what could be one of the two numbers
Solution:
HCF of two numbers is 17
Hence two numbers are
17a and 17b where a , b are co prime numbers
HCF * LCM = Product of numbers
=> 17 * 1309 = 17a * 17b
=> 77 = a * b
77 = 1 * 77 = 7 * 11
a = 1 , 7 , 11 , 77
17a = 17 , 119 , 187 , 1309
Hence one of the number can be
17 , 119 , 187 , 1309
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