GCD of 349, 570, 31, 138 Calculator

Given Input numbers are 349, 570, 31, 138

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 31

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

1, 31

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 349, 570, 31, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 570, 31, 138 is 1.

Therefore, GCD of numbers 349, 570, 31, 138 is 1

Given Input Data is 349, 570, 31, 138

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

Prime Factorization of 349 is 349

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 31 is 31

Prime Factorization of 138 is 2 x 3 x 23

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(349, 570) = 198930

GCD(349, 570) = ( 349 x 570 ) / 198930

GCD(349, 570) = 198930 / 198930

GCD(349, 570) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 349, 570, 31, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 627, 890, 33, 477
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• GCD of 660, 617, 55, 805
• GCD of 341, 341, 18, 836
• GCD of 373, 794, 99, 760

1. What is the GCD of 349, 570, 31, 138?

GCD of 349, 570, 31, 138 is 1

2. Where do I get the detailed procedure to find GCD of 349, 570, 31, 138?

You can find a detailed procedure to find GCD of 349, 570, 31, 138 on our page.

3. How to find GCD of 349, 570, 31, 138 on a calculator?

You can find the GCD of 349, 570, 31, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.