Name: Prime Numbers & Prime Factorisation
Uploaded: 2019-07-19
Duration: 6 min 40 s
Description: In this video, we will learn the concept of factors, prime numbers, and prime factorisation methods of finding numbers with examples.

Question

A rectangular piece of metal sheet that measures

360 cm

by

280 cm

is cut into identical small squares pieces. Find the greatest possible length of a side of each square piece and find the number of square pieces that can be obtained.

Accepted Answer

Given,

A rectangular piece of metal sheet that measures $360 cm$ by $280 cm$ is cut into identical small squares pieces.

We have to find the greatest possible length of a side of each square piece.

As per the need for the condition of the question we have to find the HCF of given numbers.

HCF $(360, 280)$ , we will find it by the prime factorisation.

$360 = 2 \times 2 \times 2 \times 3 \times 3 \times 5$

$280 = 2 \times 2 \times 2 \times 5 \times 7$

So, the HCF is $2 \times 2 \times 2 \times 5 = 40$

So, the greatest possible length of a side of each square piece is $40 cm$ .

Number of square pieces $= (360 \div 40) \times (280 \div 40)$

$= 9 \times 7 = 63 cm$

Therefore, the number of square pieces that can be obtained is $63 cm$

A rectangular piece of metal sheet that measures $360 cm$ by $280 cm$ is cut into identical small squares pieces. Find the greatest possible length of a side of each square piece and find the number of square pieces that can be obtained.

Important Questions on HCF and LCM

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