GCD of 763, 638, 825, 975 Calculator

Given Input numbers are 763, 638, 825, 975

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

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 763, 638, 825, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 763, 638, 825, 975 is 1.

Therefore, GCD of numbers 763, 638, 825, 975 is 1

Given Input Data is 763, 638, 825, 975

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

Prime Factorization of 763 is 7 x 109

Prime Factorization of 638 is 2 x 11 x 29

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

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(763, 638) = 486794

GCD(763, 638) = ( 763 x 638 ) / 486794

GCD(763, 638) = 486794 / 486794

GCD(763, 638) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 763, 638, 825, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 447, 319, 731
• GCD of 913, 605, 144, 124
• GCD of 643, 734, 938, 917
• GCD of 880, 216, 106, 881
• GCD of 126, 135, 782, 517

1. What is the GCD of 763, 638, 825, 975?

GCD of 763, 638, 825, 975 is 1

2. Where do I get the detailed procedure to find GCD of 763, 638, 825, 975?

You can find a detailed procedure to find GCD of 763, 638, 825, 975 on our page.

3. How to find GCD of 763, 638, 825, 975 on a calculator?

You can find the GCD of 763, 638, 825, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.