Question

6. Find the greatest number-----------------------remainders 5 and 3 respectively.please correct and full solution and please following me.☺​

Answer 1

Answer:

10

Step-by-step explanation:

Let us take the ‘greatest number’ as ‘x'.

ATQ,  dividing 625 by ‘x' leaves a remainder 5, then (625 - 5) 620 will be completely divisible by ‘x'.  

Similarly, if dividing 1433 by ‘x' leaves a remainder 3, then ( 1433 - 3) 1430 will be completely divisible by ‘x'.

So,‘x' is the greatest divisor of both 620 and 1430 which means

‘x' is the HCF of 620 and 1430

620 = 2 x 2 x 5 x 31

1430 = 2 x 5 x 11 x 13

The answer is 2 x 5 = 10