Question

find the largest number which when it divides 1545 and 2091, leaves a remainder of 9 and 11 respectively.​

Answer 1

Answer:

Step-by-step explanation:

1545 is dividend, remainder is 9

at first, do subtract remainder from dividend

1545-9 =1536

now find the highest factor possible

1536 = 2*768

so many factors are there but we got 768 is the highest factor at first

now divide 1545 with 768 we will get 9 as remainder

so, 768 is the highest possible divisor.

similarly

2091-11=2080

get the factors of 2080

2080 = 2*1040

so, 1040 is the highest possible divisor

process

1. first subtract and get result

2. get the highest factor of that result

and that's the answer