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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationEasyLevel 11
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Strips of (54) m and (90) 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: (18)

Step 1: For maximum equal length, find the HCF of (54) and (90). Step 2: (54=2\times3^3) and (90=2\times3^2\times5), so HCF (=2\times3^2=18). Step 3: When lengths are cut equally, use HCF.

Related tags

Real-NumbersHcfApplication

Frequently asked questions

What is the correct answer to this question?

(18)

Why is this the correct answer?

Step 1: For maximum equal length, find the HCF of (54) and (90). Step 2: (54=2\times3^3) and (90=2\times3^2\times5), so HCF (=2\times3^2=18). Step 3: When lengths are cut equally, 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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