Question

what is the greatest number which when divides 460, 491, 553, leaves 26 as a reminder in each case:

• A. 33
• B. 27
• C. 35
• D. 31

Answer 1

Answer:

D. 31

Find 460 - 26, 491 - 26, 553 - 26 ⇒ 434, 465, 527 In the next step find 465 - 434 and 527 - 465 ⇒ 31 & 62 In the next step find find 62 - 31 = 31 which is a prime number