GCD of 364, 126, 41, 580 Calculator

Given Input numbers are 364, 126, 41, 580

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

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 364, 126, 41, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 126, 41, 580 is 1.

Therefore, GCD of numbers 364, 126, 41, 580 is 1

Given Input Data is 364, 126, 41, 580

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 41 is 41

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(364, 126) = 3276

GCD(364, 126) = ( 364 x 126 ) / 3276

GCD(364, 126) = 45864 / 3276

GCD(364, 126) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 41

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

LCM(14, 41) = 574

GCD(14, 41) = ( 14 x 41 ) / 574

GCD(14, 41) = 574 / 574

GCD(14, 41) = 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 364, 126, 41, 580 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 268, 42, 702
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• GCD of 777, 900, 68, 524
• GCD of 350, 449, 19, 486
• GCD of 983, 786, 47, 745

1. What is the GCD of 364, 126, 41, 580?

GCD of 364, 126, 41, 580 is 1

2. Where do I get the detailed procedure to find GCD of 364, 126, 41, 580?

You can find a detailed procedure to find GCD of 364, 126, 41, 580 on our page.

3. How to find GCD of 364, 126, 41, 580 on a calculator?

You can find the GCD of 364, 126, 41, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.