GCD of 657, 744, 118, 825 Calculator

Given Input numbers are 657, 744, 118, 825

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 657, 744, 118, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 744, 118, 825 is 1.

Therefore, GCD of numbers 657, 744, 118, 825 is 1

Given Input Data is 657, 744, 118, 825

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 118 is 2 x 59

Prime Factorization of 825 is 3 x 5 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(657, 744) = 162936

GCD(657, 744) = ( 657 x 744 ) / 162936

GCD(657, 744) = 488808 / 162936

GCD(657, 744) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 118

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 118) = 354

GCD(3, 118) = ( 3 x 118 ) / 354

GCD(3, 118) = 354 / 354

GCD(3, 118) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 657, 744, 118, 825 is 1

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1. What is the GCD of 657, 744, 118, 825?

GCD of 657, 744, 118, 825 is 1

2. Where do I get the detailed procedure to find GCD of 657, 744, 118, 825?

You can find a detailed procedure to find GCD of 657, 744, 118, 825 on our page.

3. How to find GCD of 657, 744, 118, 825 on a calculator?

You can find the GCD of 657, 744, 118, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.