GCD of 561, 725, 126, 129 Calculator

Given Input numbers are 561, 725, 126, 129

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 725

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

1, 5, 25, 29, 145, 725

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 561, 725, 126, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 725, 126, 129 is 1.

Therefore, GCD of numbers 561, 725, 126, 129 is 1

Given Input Data is 561, 725, 126, 129

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 129 is 3 x 43

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(561, 725) = 406725

GCD(561, 725) = ( 561 x 725 ) / 406725

GCD(561, 725) = 406725 / 406725

GCD(561, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 129

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

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

GCD(1, 129) = 129 / 129

GCD(1, 129) = 1

GCD of 561, 725, 126, 129 is 1

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1. What is the GCD of 561, 725, 126, 129?

GCD of 561, 725, 126, 129 is 1

2. Where do I get the detailed procedure to find GCD of 561, 725, 126, 129?

You can find a detailed procedure to find GCD of 561, 725, 126, 129 on our page.

3. How to find GCD of 561, 725, 126, 129 on a calculator?

You can find the GCD of 561, 725, 126, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.