GCD of 133, 109, 520, 925 Calculator

Given Input numbers are 133, 109, 520, 925

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

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Greatest Common Divisior

We found the divisors of 133, 109, 520, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 109, 520, 925 is 1.

Therefore, GCD of numbers 133, 109, 520, 925 is 1

Given Input Data is 133, 109, 520, 925

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 109 is 109

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 925 is 5 x 5 x 37

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(133, 109) = 14497

GCD(133, 109) = ( 133 x 109 ) / 14497

GCD(133, 109) = 14497 / 14497

GCD(133, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 925

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

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

GCD(1, 925) = 925 / 925

GCD(1, 925) = 1

GCD of 133, 109, 520, 925 is 1

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1. What is the GCD of 133, 109, 520, 925?

GCD of 133, 109, 520, 925 is 1

2. Where do I get the detailed procedure to find GCD of 133, 109, 520, 925?

You can find a detailed procedure to find GCD of 133, 109, 520, 925 on our page.

3. How to find GCD of 133, 109, 520, 925 on a calculator?

You can find the GCD of 133, 109, 520, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.