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What is the length of the longest tape which can be used to measure exactly 1m75cm,4m50cm,6m50cm |
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Answer» Answer: HCF by prime factorization method : HCF of two or more numbers = PRODUCT of the smallest power of each common prime factor involved in the numbers SOLUTION : First change the length into cm. [1m= 100cm] 1m 75 cm = 1×100 +75 = 100 +75= 175 cm 6m 50 cm= 6×100+50 = 650 cm Find the H.C.F of 3 lengths 175 cm, 450 cm, 650 cm HCF by prime factorization method : 175 = 5×5×7 = 5²×7 450 = 2× 5×5×11= 2 × 5² ×11 650 = 2× 5×5 ×13 = 2× 5² × 13 H.C.F= 5² = 5×5 = 25 The longest tape which can be used to MEASURE exactly the length 175 cm, 450 cm, 650 cm is 25 cm Hence, the length of the longest tape which can be used to measure exactly 1m 75cm, 4m 50cm and 6m 50cm is 25 cm. HOPE THIS WILL HELP YOU.. |
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