GCD of 725, 748, 567, 866 Calculator

Given Input numbers are 725, 748, 567, 866

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

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Greatest Common Divisior

We found the divisors of 725, 748, 567, 866 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 748, 567, 866 is 1.

Therefore, GCD of numbers 725, 748, 567, 866 is 1

Given Input Data is 725, 748, 567, 866

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 866 is 2 x 433

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(725, 748) = 542300

GCD(725, 748) = ( 725 x 748 ) / 542300

GCD(725, 748) = 542300 / 542300

GCD(725, 748) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 567

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

LCM(1, 567) = 567

GCD(1, 567) = ( 1 x 567 ) / 567

GCD(1, 567) = 567 / 567

GCD(1, 567) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 866

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

LCM(1, 866) = 866

GCD(1, 866) = ( 1 x 866 ) / 866

GCD(1, 866) = 866 / 866

GCD(1, 866) = 1

GCD of 725, 748, 567, 866 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 463, 162, 717, 586
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• GCD of 429, 461, 165, 430

1. What is the GCD of 725, 748, 567, 866?

GCD of 725, 748, 567, 866 is 1

2. Where do I get the detailed procedure to find GCD of 725, 748, 567, 866?

You can find a detailed procedure to find GCD of 725, 748, 567, 866 on our page.

3. How to find GCD of 725, 748, 567, 866 on a calculator?

You can find the GCD of 725, 748, 567, 866 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.