Find the greatest number which divides 99 123 and 183 leaving the same remainder in each case
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First, we have to find the differences between these three numbers.
(183-123), (123-99), (183-99)
= 60, 24, 84
The word "greatest" denotes that we have to find the HCF.
So, HCF of 60, 24 and 84 will give us our solution.
60= 2×2×3×5
24=2×2×2×3
84=2×2×3×7
HCF= 2×2×3
=12
Hence, the greatest number that divides these three values completely is 12.
Hope it helps ^_^.
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0
Answer:
12
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