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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.
- A12 cm
- B14 cm
- C16 cm
- D18 cm
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CCommunity
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
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