GCD of 557, 998, 91, 309 Calculator

Given Input numbers are 557, 998, 91, 309

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

Divisors of 557

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

1, 557

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 557, 998, 91, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 998, 91, 309 is 1.

Therefore, GCD of numbers 557, 998, 91, 309 is 1

Given Input Data is 557, 998, 91, 309

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

Prime Factorization of 557 is 557

Prime Factorization of 998 is 2 x 499

Prime Factorization of 91 is 7 x 13

Prime Factorization of 309 is 3 x 103

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(557, 998) = 555886

GCD(557, 998) = ( 557 x 998 ) / 555886

GCD(557, 998) = 555886 / 555886

GCD(557, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 91

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

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

GCD(1, 91) = 91 / 91

GCD(1, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 557, 998, 91, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 756, 33, 112
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1. What is the GCD of 557, 998, 91, 309?

GCD of 557, 998, 91, 309 is 1

2. Where do I get the detailed procedure to find GCD of 557, 998, 91, 309?

You can find a detailed procedure to find GCD of 557, 998, 91, 309 on our page.

3. How to find GCD of 557, 998, 91, 309 on a calculator?

You can find the GCD of 557, 998, 91, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.