Question

What is the greatest length of a tape whose whole length can be used to measure the lengths 56cm,and 140cm exactly?

Answer 1

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here...
it is given...
What is the greatest length of a tape whose whole length can be used to measure the lengths 56cm,and 140cm exactly?
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we know that ...
for greatest no you
have to find hcf
here no. are
56 and 140
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then...
prime factorisation of these no..
56=2×2×2×7
140=2×2×5×7
both common is 2×2×7
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so.....hcf
= 2×2×7
=28
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28 cm length can measured hole length _________________
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28cm is answer of the question
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Answer 2

Find the prime factors of 56 and 140:

56 = 2³ x 7

140 = 2² x 5 x 7

Find the HCF :

HCF = 2² x 7 = 28 cm

Answer: The greatest length of the tape is 28cm