Question

Find out the greatst number
by which 1709 and 2007 can
be divided leaving the remainders
7 and 9 respectively.​

Answer 1

Answer:

Let their highest common factor be x and individual factor a and b for 1709 and 2007

respectively.

1709 = (x)a + 7

2007 = (x)b + 9

1702 = (x)a

1998 = (x)b

greatest number x = HCF = 2 * 37 = 74

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Answer 2

Step-by-step explanation:

Let,their highest common factor x and individual factor a and b for 1709 and 2007 respectively

1709=(x)a+7

2007=(x)b+9

1702=(x)a

1998=(x)b

greatest number x=HCF =2*37=74