GCD of 580, 760, 905, 135 Calculator

Given Input numbers are 580, 760, 905, 135

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

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 580, 760, 905, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 760, 905, 135 is 5.

Therefore, GCD of numbers 580, 760, 905, 135 is 5

Given Input Data is 580, 760, 905, 135

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

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 905 is 5 x 181

Prime Factorization of 135 is 3 x 3 x 3 x 5

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(580, 760) = 22040

GCD(580, 760) = ( 580 x 760 ) / 22040

GCD(580, 760) = 440800 / 22040

GCD(580, 760) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 905

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

LCM(20, 905) = 3620

GCD(20, 905) = ( 20 x 905 ) / 3620

GCD(20, 905) = 18100 / 3620

GCD(20, 905) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 135

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

LCM(5, 135) = 135

GCD(5, 135) = ( 5 x 135 ) / 135

GCD(5, 135) = 675 / 135

GCD(5, 135) = 5

GCD of 580, 760, 905, 135 is 5

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• GCD of 580, 457, 593, 131

1. What is the GCD of 580, 760, 905, 135?

GCD of 580, 760, 905, 135 is 5

2. Where do I get the detailed procedure to find GCD of 580, 760, 905, 135?

You can find a detailed procedure to find GCD of 580, 760, 905, 135 on our page.

3. How to find GCD of 580, 760, 905, 135 on a calculator?

You can find the GCD of 580, 760, 905, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.