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1). 12 cm2). 14 cm3). 16 cm4). 18 cm |
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Answer» 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 |
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