GCD of 294, 421, 76, 580 Calculator

Given Input numbers are 294, 421, 76, 580

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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

Greatest Common Divisior

We found the divisors of 294, 421, 76, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 421, 76, 580 is 1.

Therefore, GCD of numbers 294, 421, 76, 580 is 1

Given Input Data is 294, 421, 76, 580

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 421 is 421

Prime Factorization of 76 is 2 x 2 x 19

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

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(294, 421) = 123774

GCD(294, 421) = ( 294 x 421 ) / 123774

GCD(294, 421) = 123774 / 123774

GCD(294, 421) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 294, 421, 76, 580 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 457, 471, 78, 581
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• GCD of 750, 968, 12, 796
• GCD of 901, 920, 22, 423

1. What is the GCD of 294, 421, 76, 580?

GCD of 294, 421, 76, 580 is 1

2. Where do I get the detailed procedure to find GCD of 294, 421, 76, 580?

You can find a detailed procedure to find GCD of 294, 421, 76, 580 on our page.

3. How to find GCD of 294, 421, 76, 580 on a calculator?

You can find the GCD of 294, 421, 76, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.