Question

find the greatest number which divides 1384 and 1456 living reminder 4and 1respectively​

Answer 1

Answer:

The greatest number is 5.

Step-by-step explanation:

Subtracting the remainder to find the divisible number:

1384-4=1380    ,   1456-1=1455

Finding the H.C.F of the numbers 1380,1455 :

multiples of 1380=2×2×3×5×23

mutiples of 1455= 3×5×97

Common Multiples =3,5

H.C.F =5

So ,the greatest number which divides 1384 & 1456 leaving a remainder of 4 and 1 respectively is "5"

Hope you find it helpful  :)

Answer 2

Answer:

greatest number = 15

Step-by-step explanation:

Let say Number = X

then

AX = 1384 - 4

=> AX = 1380

BX = 1456 - 1

=> BX = 1455

to find Greatest number for X

we need to find HCF of 1380 & 1455

1380 = 2 * 2 * 3 * 5  * 23

1455 = 3 * 5 * 97

HCF = 15

so greatest number = 15