find the least number which when divided by 27 35 45 and 49 leaves remainder 6 in each case - Wikitechy https://www.wikitechy.com/interview-questions/tag/find-the-least-number-which-when-divided-by-27-35-45-and-49-leaves-remainder-6-in-each-case/ Interview Questions Mon, 13 Sep 2021 09:39:17 +0000 en-US hourly 1 https://wordpress.org/?v=6.9.4 https://www.wikitechy.com/interview-questions/wp-content/uploads/2025/10/cropped-wikitechy-icon-32x32.png find the least number which when divided by 27 35 45 and 49 leaves remainder 6 in each case - Wikitechy https://www.wikitechy.com/interview-questions/tag/find-the-least-number-which-when-divided-by-27-35-45-and-49-leaves-remainder-6-in-each-case/ 32 32 Find the greatest number that will divide 148 246 and 623 leaving remainders 4 6 and 11 respectively ? https://www.wikitechy.com/interview-questions/lcm-and-hcf/find-the-greatest-number-that-will-divide-148-246-and-623-leaving-remainders-4-6-and-11-respectively/ https://www.wikitechy.com/interview-questions/lcm-and-hcf/find-the-greatest-number-that-will-divide-148-246-and-623-leaving-remainders-4-6-and-11-respectively/#respond Tue, 17 Aug 2021 17:29:52 +0000 https://www.wikitechy.com/interview-questions/?p=1836

Find the greatest number that will divide 148 246 and 623 leaving remainders 4 6 and 11 respectively ?

A. 20

B. 12

C. 6

D. 48

Answer : B. 12…

Explanation:

Remainder in case of 148 = 4
Number = 148 – 4 = 144
Remainder in case of 246 = 6
Number = 246 – 6 = 240
Remainder in case of 623 = 11
Number = 623 – 11 = 612
Now, we have find the H.C.F. of 144, 240 and 612

H.C.F. of 144, 240 and 612 = 2 * 2 * 3 = 12

Therefore, the required number is 12 that will divide 148, 246 and 623 leaving remainders 4, 6 and 11 respectively.

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