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Q.

If the product of two numbers is 2560 and their LCM is 320, then their HCF is ____.


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Detailed Solution

If the product of two numbers is 2560 and their LCM is 320, then their HCF is 8.
It is given that the product of two numbers is 2560 and their LCM is 320.
Let ‘a’ and ‘b’ be two numbers.
Then we have,
a×b=2560, and LCM=320 We know that,
a×b=HCF×LCM
2560=HCF×320 HCF= 2560 320 HCF=8. Therefore, the HCF of numbers whose product is 2560 is 8.
 
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