Question

The greatest number which divides 762, 178, and 530 leaving remainders 6, 7, and 8, respectively is​

Answer 1

Answer: Number when divides 70 and 125 leaves remainders 5 and

8, then

70−5=65

125−8=117

then HCF of 65 and 117 is

65=5×13

117=3×3×13

Hence, HCF of 65 and 117 is 13.

13 is the largest number which divides 70 and 125 and leaves remainders 5 and 8.

Step-by-step explanation:

Answer 2

Answer:

The number divides 399,434 and 537 leaving the remainder 8,9 and 10.

So, that number will divide (399−8),(434−9) and (537−10) completely.

Now, the greatest number that will divide 391,425 and 527 completely, is the H.C.F. of these numbers.

391=17×23

425=5×5×17

527=17×31

H.C.F. =17