what is the largest number when divided into 63 and 75 will leave a remainder of three?

Answer 1

To find the largest number that, when divided into both 63 and 75, leaves a remainder of three, you can use the concept of greatest common divisor (GCD) or greatest common factor (GCF).

The GCD of 63 and 75 is the largest number that can evenly divide both numbers. To find it, you can use the Euclidean algorithm:

Start with the two numbers: 63 and 75.

Divide 75 by 63: 75 ÷ 63 = 1 with a remainder of 12.

Now, replace the larger number (75) with the remainder (12) and keep the smaller number (63) as is: 63 and 12.

Repeat the process: 63 ÷ 12 = 5 with a remainder of 3.

Again, replace the larger number (63) with the remainder (3) and keep the smaller number (12) as is: 12 and 3.

Repeat once more: 12 ÷ 3 = 4 with no remainder.

Now that you have reached a point where the remainder is 0, the GCD is the last non-zero remainder, which is 3.

So, the largest number that, when divided into both 63 and 75, leaves a remainder of three is 3.

Answer 2

'12'

63 /12 = 5 remainder 3

75 /12 = 6 remainder 3.

Answer 3

3