What is the largest number that will divide 61,33and45 leaving 5 as reminder in each case
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Answer:
14 is the greatest number that will divide 61 , 33 and 75 leaving 5 as remainder.
Step-by-step explanation:
he given numbers are : 61 , 33 , 75
5 is to be left as a remainder. So, we subtract 5 from each of the numbers. We get:
61 − 5 = 56,
33 − 5 = 28,
75 − 5 = 70.
The greatest number which divides 56, 28, 70 exactly is nothing but the H.C.F of (56, 28, 70)
56 = 1 × 2 × 2 × 2 × 7
28 = 1 × 2 × 2 × 7
70 = 1 × 2 × 5 × 7
H.C.F of (56 , 28 , 70) = 1 × 2 × 7 = 14. [1,2,7 are the only common multiples for 1,2,7]
Greatest number is 14.
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