GCD of 975, 755, 559, 129 Calculator

Given Input numbers are 975, 755, 559, 129

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

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

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

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 975, 755, 559, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 755, 559, 129 is 1.

Therefore, GCD of numbers 975, 755, 559, 129 is 1

Given Input Data is 975, 755, 559, 129

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

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

Prime Factorization of 755 is 5 x 151

Prime Factorization of 559 is 13 x 43

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(975, 755) = 147225

GCD(975, 755) = ( 975 x 755 ) / 147225

GCD(975, 755) = 736125 / 147225

GCD(975, 755) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 559

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

LCM(5, 559) = 2795

GCD(5, 559) = ( 5 x 559 ) / 2795

GCD(5, 559) = 2795 / 2795

GCD(5, 559) = 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 975, 755, 559, 129 is 1

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1. What is the GCD of 975, 755, 559, 129?

GCD of 975, 755, 559, 129 is 1

2. Where do I get the detailed procedure to find GCD of 975, 755, 559, 129?

You can find a detailed procedure to find GCD of 975, 755, 559, 129 on our page.

3. How to find GCD of 975, 755, 559, 129 on a calculator?

You can find the GCD of 975, 755, 559, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.