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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationEasyLevel 10
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Two strips of (20) m and (28) m are to be cut into equal pieces of maximum length. What will be the length of each piece?

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Answer and explanation

Correct answer: (4) m

Step 1: For maximum equal length, find the HCF of (20) and (28). Step 2: (20=2^2\times5) and (28=2^2\times7). Step 3: The common part is (2^2=4), so each piece will be (4) m long.

Related tags

Real-NumbersHcfApplication

Frequently asked questions

What is the correct answer to this question?

(4) m

Why is this the correct answer?

Step 1: For maximum equal length, find the HCF of (20) and (28). Step 2: (20=2^2\times5) and (28=2^2\times7). Step 3: The common part is (2^2=4), so each piece will be (4) m long.

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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