Question

1. Calculate the largest number which divides 70 and 125, leaves remainders 5 and 8, respectively.​

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.

Answer 2

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.