find the greatest number which divides 47 ,74 and 101 leaving the remainder 2 in each case
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4
Answer:
Here, The required number is 9.
Step-by-step explanation:
Here, As given in question,
=47-2=45
=74-2=72
=101-2=99
Now, Prime factors of all given numbers are:
=45=3×3×5
=72=2×2×2×3×3
=99=3×3×11
Now, As we have to find out the greatest number, we would find HCF of the numbers.
=So, Hcf=3×3×=9
So, 9 us the greatest number which divides 47, 74 and 101 leaving remainder 2 in each case.
Thank you.
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