GCD of 716, 226, 41, 580 Calculator

Given Input numbers are 716, 226, 41, 580

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

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 716, 226, 41, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 226, 41, 580 is 1.

Therefore, GCD of numbers 716, 226, 41, 580 is 1

Given Input Data is 716, 226, 41, 580

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 226 is 2 x 113

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(716, 226) = 80908

GCD(716, 226) = ( 716 x 226 ) / 80908

GCD(716, 226) = 161816 / 80908

GCD(716, 226) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 41

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

LCM(2, 41) = 82

GCD(2, 41) = ( 2 x 41 ) / 82

GCD(2, 41) = 82 / 82

GCD(2, 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 716, 226, 41, 580 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 825, 41, 210
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• GCD of 329, 435, 32, 686
• GCD of 856, 279, 44, 654
• GCD of 520, 820, 22, 121

1. What is the GCD of 716, 226, 41, 580?

GCD of 716, 226, 41, 580 is 1

2. Where do I get the detailed procedure to find GCD of 716, 226, 41, 580?

You can find a detailed procedure to find GCD of 716, 226, 41, 580 on our page.

3. How to find GCD of 716, 226, 41, 580 on a calculator?

You can find the GCD of 716, 226, 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.