Question

Find the greatest number which divides 1445 and 533 with remainders of 15 and 13, respectively.​

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

1445-15= 1430 , 533-13= 520

Now, HCF of 1430 and 520 is

1430 = 2*5*11*13

520= 2*2*2*5*13

Here 2 and 13 are common. So, that HCF is 2*13= 26

Therefore 26is the largest number that divides 1445 and 533 leaving remainder 15 and 13 respectively.