Find the greatest number which on dividing 1780 and 2452 leaves the remainder 4 in each case.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 48.
Remainder = 4
⇒ 1780 - 4 = 1776 and,
⇒ 2452 - 4 = 2448
H.C.F (1776 and 2448)
⇒ 1776 = 2 × 2 × 2 × 2 × 3 × 37
⇒ 2448 = 2 × 2 × 2 × 2 × 3 × 3 × 17
⇒ H.C.F = 48 [2 × 2 × 2 × 2 × 3]
So,
The greatest number will be 48