Question

write the greatest number that divides 665 798 and 931 leaving remainders 5,6 and7 respectievly​

Answer 1

Answer:Hope this answer helps!

Answer 2

Answer:

132

Step-by-step explanation:

Solution-> 665- 5 = 660

                798 - 6 = 792 

                931 - 7 = 924 

Now find the greatest common factor of those 3 numbers: 

660 = 2 * 2 * 3 * 5 * 11

792 = 2 * 2 * 2 * 3 * 3 * 11

924 = 2 * 2 * 3 * 7 * 11

The common factors are 2 * 2 * 3 * 11 = 132

HCF Of (660,792,924) = 132

665 / 132 = 5 remainder 5 

798 / 132 = 6 remainder 6 

931 / 132 = 7 remainder 7 

Answer: 

132 is the largest divisor that will give the desired remainders.

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