GCD of 825, 712, 125, 630 Calculator

Given Input numbers are 825, 712, 125, 630

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

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 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Greatest Common Divisior

We found the divisors of 825, 712, 125, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 712, 125, 630 is 1.

Therefore, GCD of numbers 825, 712, 125, 630 is 1

Given Input Data is 825, 712, 125, 630

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

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

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(825, 712) = 587400

GCD(825, 712) = ( 825 x 712 ) / 587400

GCD(825, 712) = 587400 / 587400

GCD(825, 712) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 630

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

LCM(1, 630) = 630

GCD(1, 630) = ( 1 x 630 ) / 630

GCD(1, 630) = 630 / 630

GCD(1, 630) = 1

GCD of 825, 712, 125, 630 is 1

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1. What is the GCD of 825, 712, 125, 630?

GCD of 825, 712, 125, 630 is 1

2. Where do I get the detailed procedure to find GCD of 825, 712, 125, 630?

You can find a detailed procedure to find GCD of 825, 712, 125, 630 on our page.

3. How to find GCD of 825, 712, 125, 630 on a calculator?

You can find the GCD of 825, 712, 125, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.