GCD of 31, 645, 349, 197 Calculator

Given Input numbers are 31, 645, 349, 197

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 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 349

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

1, 349

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Greatest Common Divisior

We found the divisors of 31, 645, 349, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 645, 349, 197 is 1.

Therefore, GCD of numbers 31, 645, 349, 197 is 1

Given Input Data is 31, 645, 349, 197

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

Prime Factorization of 31 is 31

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 349 is 349

Prime Factorization of 197 is 197

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, 645) = 19995

GCD(31, 645) = ( 31 x 645 ) / 19995

GCD(31, 645) = 19995 / 19995

GCD(31, 645) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 197

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

LCM(1, 197) = 197

GCD(1, 197) = ( 1 x 197 ) / 197

GCD(1, 197) = 197 / 197

GCD(1, 197) = 1

GCD of 31, 645, 349, 197 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 826, 765, 172
• GCD of 14, 769, 360, 776
• GCD of 57, 226, 855, 613
• GCD of 89, 786, 929, 971
• GCD of 18, 789, 434, 710

1. What is the GCD of 31, 645, 349, 197?

GCD of 31, 645, 349, 197 is 1

2. Where do I get the detailed procedure to find GCD of 31, 645, 349, 197?

You can find a detailed procedure to find GCD of 31, 645, 349, 197 on our page.

3. How to find GCD of 31, 645, 349, 197 on a calculator?

You can find the GCD of 31, 645, 349, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.