GCD of 580, 764, 105 Calculator

Given Input numbers are 580, 764, 105

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 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 580, 764, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 764, 105 is 1.

Therefore, GCD of numbers 580, 764, 105 is 1

Given Input Data is 580, 764, 105

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 764 is 2 x 2 x 191

Prime Factorization of 105 is 3 x 5 x 7

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(580, 764) = 110780

GCD(580, 764) = ( 580 x 764 ) / 110780

GCD(580, 764) = 443120 / 110780

GCD(580, 764) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 105

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

LCM(4, 105) = 420

GCD(4, 105) = ( 4 x 105 ) / 420

GCD(4, 105) = 420 / 420

GCD(4, 105) = 1

GCD of 580, 764, 105 is 1

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1. What is the GCD of 580, 764, 105?

GCD of 580, 764, 105 is 1

2. Where do I get the detailed procedure to find GCD of 580, 764, 105?

You can find a detailed procedure to find GCD of 580, 764, 105 on our page.

3. How to find GCD of 580, 764, 105 on a calculator?

You can find the GCD of 580, 764, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.