Best Answer

The greatest such number is 1.

If n is such a number, then

6168 = an + r

2447 = bn + r, and

3118 = cn + r for some integers a, b, c and r.

This means that

6168 - 2447 = 3721 = (a-b)n

6168 - 3118 = 3050 = (a-c)n, and

3118 - 2447 = 671 = (c-b)n

That is, n is the greatest common factor of 3721, 3050 and 671.

But the GCF of these numbers is 1. Hence the answer.

Q: Find the greatest number which divides 6168 2447 and 3118 leaving the same remainder in each case?

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... is a "factor" of the given number.

There is no such number. 1675 - 6 = 1669 which is a prime. As a result, the only number that can divide it is 1 and 1669 itself. However, 1 not only divides 1669 but it also divides 1675. That is, 1 does not leave a remainder of 6 when dividing 1675.

360

This is a slight twist to the normal find the GCF of two numbers. In this case as a remainder of 7 is required, subtracting 7 from each number and then finding the GCF of the resulting numbers will solve the problem: 742 - 7 = 735 1162 - 7 = 1155 GCF of 1155 and 735 (using Euclid's method): 1155 / 735 = 1 r 420 735 / 420 = 1 r 315 420 / 315 = 1 r 105 315 / 105 = 3 r 0 GCF of 735 & 1155 is 105, thus 105 is the greatest number that will divide 742 and 1162 leaving a remainder of exactly 7 each time.

2 divides 4 into 2 with no remainder, 3 divides 6, 12 divides 36, 4 divides 12, there are way to many to name them allIs called a factor.

Related questions

It is: 46

46.

742/105 = 7 remainder 7 1162/105 = 11 remainder 7

... is a "factor" of the given number.

There is no such number. 1675 - 6 = 1669 which is a prime. As a result, the only number that can divide it is 1 and 1669 itself. However, 1 not only divides 1669 but it also divides 1675. That is, 1 does not leave a remainder of 6 when dividing 1675.

The number is 25.

The largest cube is 23 = 8 which divides 72 with a remainder of 0.

1

A remainder of zero is obtained whenever the number is divided by its factor. For example, when 20 is divided by either 1,2,4,5,10 or 20 the remainder is zero. Every number has 1 as its divisor.Infact, this is the definition of divisor- a number which divides another number to return zero as the remainder.

As 16 divides equally by 2 without leaving a remainder, it is indeed an even number.

Divisibility is when a number divides into another number with no remainder.

Divisibility is when a number divides into another number with no remainder.