GCD of 31, 134, 557, 209 Calculator

Given Input numbers are 31, 134, 557, 209

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 557

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

1, 557

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 31, 134, 557, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 134, 557, 209 is 1.

Therefore, GCD of numbers 31, 134, 557, 209 is 1

Given Input Data is 31, 134, 557, 209

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

Prime Factorization of 31 is 31

Prime Factorization of 134 is 2 x 67

Prime Factorization of 557 is 557

Prime Factorization of 209 is 11 x 19

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(31, 134) = 4154

GCD(31, 134) = ( 31 x 134 ) / 4154

GCD(31, 134) = 4154 / 4154

GCD(31, 134) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

GCD of 31, 134, 557, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 754, 662, 319
• GCD of 61, 180, 344, 460
• GCD of 18, 756, 388, 752
• GCD of 66, 117, 513, 877
• GCD of 34, 194, 632, 949

1. What is the GCD of 31, 134, 557, 209?

GCD of 31, 134, 557, 209 is 1

2. Where do I get the detailed procedure to find GCD of 31, 134, 557, 209?

You can find a detailed procedure to find GCD of 31, 134, 557, 209 on our page.

3. How to find GCD of 31, 134, 557, 209 on a calculator?

You can find the GCD of 31, 134, 557, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.