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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationHard
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If ropes of lengths (96) and (160) are to be cut into equal pieces of maximum length, what will be the maximum length of each piece?

Answer and explanation

Correct answer: (32)

Step 1: For maximum equal length, find the HCF. Step 2: (96=2^5\times3) and (160=2^5\times5), so HCF (=2^5=32). Step 3: For maximum equal cutting or sharing, use HCF.

Related tags

Real-NumbersHcfWord-ProblemHcf And Lcm Using Prime FactorisationHcf Lcm Using Prime FactorisationReal NumbersMathematicsClass 10 Mcq
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  1. 1If the product of two numbers is 3780 and their LCM is 315, what is their HCF?
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