Find the greatest number which divides 394 and 506 leaving 10 as remainder in each case.
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The answer will be= 16
Step-by-step explanation:
Dividing 394 by that number leaves a reminder 10
So, (394-10)= 384 will be perfectly divisible by that number
Again, dividing 506 by that number leaves a reminder 10
So, (506-10)=496 will be perfectly divisible by that number
Now, we need to calculate the h.c.f of 384, 496
384=2×2×2×2×2×2×2×3
496=2×2×2×2×31
so h.c.f will be= 2×2×2×2= 16
So, the answer will be= 16
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