GCD of 23, 980, 229, 557 Calculator

Given Input numbers are 23, 980, 229, 557

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Greatest Common Divisior

We found the divisors of 23, 980, 229, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 980, 229, 557 is 1.

Therefore, GCD of numbers 23, 980, 229, 557 is 1

Given Input Data is 23, 980, 229, 557

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

Prime Factorization of 23 is 23

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 229 is 229

Prime Factorization of 557 is 557

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(23, 980) = 22540

GCD(23, 980) = ( 23 x 980 ) / 22540

GCD(23, 980) = 22540 / 22540

GCD(23, 980) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 229

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

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

GCD(1, 229) = 229 / 229

GCD(1, 229) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

GCD of 23, 980, 229, 557 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 956, 573, 218
• GCD of 50, 290, 568, 926
• GCD of 39, 213, 233, 165
• GCD of 90, 230, 741, 658
• GCD of 11, 395, 117, 991

1. What is the GCD of 23, 980, 229, 557?

GCD of 23, 980, 229, 557 is 1

2. Where do I get the detailed procedure to find GCD of 23, 980, 229, 557?

You can find a detailed procedure to find GCD of 23, 980, 229, 557 on our page.

3. How to find GCD of 23, 980, 229, 557 on a calculator?

You can find the GCD of 23, 980, 229, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.