Question

Find the greatest number which well divide 45, 72 and 999 leaving remainder as 5, 2 and 9.

Answer 1

Answer:

$10$

Step-by-step explanation:

45 - 5 = 40

72 - 2 = 70

999 - 9 = 990

Then,

$40 = 2 * 2 * 2 * 5\\70=2*5*7\\990=2*5*3*3*11$

So,

$2*5=10$

Hope it helps you :).

Answer 2

Answer:

10

Step-by-step explanation:

the formula is

to find a greatest number that will divide x,y,z leaving remainder of a,b,c then req number is

hcf of x-a,y-b,z-c

so now we need to find hcf of 40,72,990

40-----2^3*5

70-----2*5*7

990---- 2*3^2*5*11

so,the hcf is 2*5=10

thankyou!