Question

What is the greatest number when divided by 37 and 58 leaves reminder 2 and 3 respectively'?

Answer 1

Answer:

since the number leaves 2 remainder when divided by 5

the number =37-2=35

and leaves 3 as a remainder when divided by 5

the number =58-3 =55

now,

the hcf of 35 and 55 will be the number which will be the largest number that divides it....

35=1×5×7

55=1×5×11

hcf=1×5 =5

Answer 2

Step-by-step explanation:

Since the number leaves 2 remainder when divided by 5

the number =37-2=35

and leaves 3 as a remainder when divided by 5

the number =58-3 =55

now,

the hcf of 35 and 55 will be the number which will be the largest number that divides it....

35=1×5×7

55=1×5×11

hcf=1×5 =5