Question

Find the greatest number which divides 2246 and 2332 and
the remainder 5 and 8​

Answer 1

Step-by-step explanation:

Since the divisor should leave 2, 4, 5 as remainders after dividing 224, 250 and 302.

So 221(224 - 3) , 246 (250 - 4) and 297 (302 - 5) should be divisible by this unknown number.

Let’s do prime factorization of 221, 246 and 297, to find the largest number

221 = 13 x 17

246 = 2 x 3 x 41

297 = 3 x 3 x 3 x 11

So, the common number among these prime factorization is “1”.

So, there is no such number.