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Class 10 Mathematics Real Numbers HCF and LCM using prime factorisationHardLevel 13

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If two strips of lengths (80) metres and (128) metres are to be cut into equal pieces of maximum length, what will be the length of each piece?

Answer and explanation

Correct answer: (16) metres

Step 1: For maximum equal length, find the HCF. Step 2: (80=2^4\times5) and (128=2^7), so HCF (=2^4=16). Step 3: For maximum equal cutting, use HCF.

Related tags

Real-Numbers Hcf Cutting-Problem

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What is the correct answer to this question?

(16) metres

Why is this the correct answer?

Step 1: For maximum equal length, find the HCF. Step 2: (80=2^4\times5) and (128=2^7), so HCF (=2^4=16). Step 3: For maximum equal cutting, use HCF.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: HCF and LCM using prime factorisation.

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