GCD of 31, 824, 188, 604 Calculator

Given Input numbers are 31, 824, 188, 604

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 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 604

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

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 31, 824, 188, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 824, 188, 604 is 1.

Therefore, GCD of numbers 31, 824, 188, 604 is 1

Given Input Data is 31, 824, 188, 604

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

Prime Factorization of 31 is 31

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 604 is 2 x 2 x 151

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, 824) = 25544

GCD(31, 824) = ( 31 x 824 ) / 25544

GCD(31, 824) = 25544 / 25544

GCD(31, 824) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 604

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

LCM(1, 604) = 604

GCD(1, 604) = ( 1 x 604 ) / 604

GCD(1, 604) = 604 / 604

GCD(1, 604) = 1

GCD of 31, 824, 188, 604 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 685, 778, 156
• GCD of 12, 366, 946, 148
• GCD of 50, 126, 323, 688
• GCD of 26, 311, 256, 739
• GCD of 72, 815, 677, 315

1. What is the GCD of 31, 824, 188, 604?

GCD of 31, 824, 188, 604 is 1

2. Where do I get the detailed procedure to find GCD of 31, 824, 188, 604?

You can find a detailed procedure to find GCD of 31, 824, 188, 604 on our page.

3. How to find GCD of 31, 824, 188, 604 on a calculator?

You can find the GCD of 31, 824, 188, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.