Question

Which is the largest number that divide 523 and 67 leaving remainder 7 and 1 respectively

Answer 1

Answer:

6 is the answer

thank you

Answer 2

Since, 7 and 1 are the remainders of 523 and 67 respectively .

Thus , after subtracting these remainders from the numbers ,

we have (523 - 7 )= 516

and ( 67 - 1 ) = 66

Find HCF of 66 and 516 we get

66 | 516 | 7

**** 462

___________

****** 54| 66 | 1

*********** 54

____________

************12 | 54|4

**************** 48

______________

****************6| 12|2

*******************12

________________

***************(0)

HCF ( 66,516) = 6

Therefore.,

6 is the largest number that divide 523 and 67 leaving remainder 7 and 1 respectively.

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