Find the greatest length which can be used to measure exactly three cloth pieces of lengths 1.26 m, 1.98 m and 1.62 m respectively.?

12 cm
14 cm
16 cm
18 cm

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 4 : 18 cm

As per the given data,

HCF of 126 cm, 198 cm and 162 cm is the greatest length which can be used to exactly measure three cloth pieces.

Factors of 126 = 1, 2, 3, 6, 7, 9, 12, 14, 18, 21, 42, 63, 126

Factors of 198 = 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Factors of 162 = 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

⇒ HCF of 126, 198 and 162 = 18 cm

∴ Greatest length which can be used to measure exactly three cloth pieces of lengths 1.26 m, 1.98 m and 1.62 m is 18 cm

4 views Answered 2022-09-04 04:29

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