Two sets of maths and science books containing 1680 and 1056 books respectively in a library have to be stacked in such a way all the books are stored subjectwise and the height of each stack is the same. Assuming that the books are of the same thickness , determine the total number of satcks
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To find the total no. of stacks we have to find out its HCF
1680=2×2×2×2×3×5×7
1052=2×2×2×2×3×2×11
So the HFC (1680 and 1052)=48
Total No. of stacks = 48
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Answer:
The total number of stacks =48
Step-by-step explanation:
For the total number of stacks, we need to find HCF(1680,1056)
Using Euclid's Division Lemma,
1680=1056 x 1 + 624
1056= 624 x 1 + 432
624= 432 x 1 + 192
432= 192 x 2 + 48
192= 48 x 4 + 0
Therefore,HCF(1680,1056) = 48
So, the total number of stacks = 48
Hope it helps you
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