Question

find the largest number which divides 70 and 125 leaving remainder 5 and8 respectively​

Answer 1

Step-by-step explanation:

13 is the largest number which divided 70 and 125 leaves the remainder 5 and 8 respectively.

Answer 2

Step-by-step explanation:

Given that :

find the largest number which divides 70 and 125 leaving remainder 5 and8 respectively

Solution: To find the largest number which divides 70 and 125 leaving remainder 5 and8 respectively,

first of all subtract remainder from the numbers

70-5=65

125-8=117

Now, take HCF of 65,117

Prime factors of 65=5×13

Prime factors of 117=3×3×13

It is clear that HCF(65,117)=13

so,13 is that largest number which divides 70 and 125 leaving remainder 5 and 8 respectively.

Hope it helps you.