Question

Find the greatest number that will divide 623,729and841 leaving remainder 3,9and1 respectively

Answer 1

Step-by-step explanation:

From the given numbers, we now subtract their respective remainders to get the numbers which are divisible by the largest number:

623-3 = 620

729-9 = 720

And, 841-1 = 840

Now to find the largest number, we will take the H.C.F of 620,720 and 840.

Prime factirization of 620 = 2*2*5*31

Prime factirization of 720= 2*2*2*2*3*3*5

Prime factirization of 840 = 2*2*2*3*5*7

Therefore, HCF = 2*2*5 = 4*5 = 20

Therefore, 20 is the largest number required.

hope it is helpful for u

Answer 2

Answer:

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