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Can two numbers have 16 as their HCF and 204 as their LCM? reasons in support |
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Answer» Answer. HCF of two numbers should be the LCM of those two numbers. So two numbers cannot have 16 as HCF and 204 as LCM.Step-by-step EXPLANATION:No,Let X and Y be our two numbers,AndX=14aY =14bWhere a,b are Co prime to each OTHERTO find the LCM,LCM = 14abAccording to questionLCM = 204204 = 14ab 14.5714.... = abBecause a and b are Co prime integersa*b cannot be a fraction.Therefore, 204 cannot be the LCM if 14 is the HCF |
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