GCD of 31, 604, 649, 452 Calculator

Given Input numbers are 31, 604, 649, 452

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 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Greatest Common Divisior

We found the divisors of 31, 604, 649, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 604, 649, 452 is 1.

Therefore, GCD of numbers 31, 604, 649, 452 is 1

Given Input Data is 31, 604, 649, 452

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

Prime Factorization of 31 is 31

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 649 is 11 x 59

Prime Factorization of 452 is 2 x 2 x 113

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, 604) = 18724

GCD(31, 604) = ( 31 x 604 ) / 18724

GCD(31, 604) = 18724 / 18724

GCD(31, 604) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 452

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

LCM(1, 452) = 452

GCD(1, 452) = ( 1 x 452 ) / 452

GCD(1, 452) = 452 / 452

GCD(1, 452) = 1

GCD of 31, 604, 649, 452 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 41, 176, 138, 341
• GCD of 30, 749, 100, 170
• GCD of 98, 527, 444, 502
• GCD of 46, 144, 491, 470
• GCD of 72, 494, 223, 294

1. What is the GCD of 31, 604, 649, 452?

GCD of 31, 604, 649, 452 is 1

2. Where do I get the detailed procedure to find GCD of 31, 604, 649, 452?

You can find a detailed procedure to find GCD of 31, 604, 649, 452 on our page.

3. How to find GCD of 31, 604, 649, 452 on a calculator?

You can find the GCD of 31, 604, 649, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.