GCD of 31, 600, 278, 685 Calculator

Given Input numbers are 31, 600, 278, 685

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 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Greatest Common Divisior

We found the divisors of 31, 600, 278, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 600, 278, 685 is 1.

Therefore, GCD of numbers 31, 600, 278, 685 is 1

Given Input Data is 31, 600, 278, 685

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

Prime Factorization of 31 is 31

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 278 is 2 x 139

Prime Factorization of 685 is 5 x 137

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, 600) = 18600

GCD(31, 600) = ( 31 x 600 ) / 18600

GCD(31, 600) = 18600 / 18600

GCD(31, 600) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 685

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

LCM(1, 685) = 685

GCD(1, 685) = ( 1 x 685 ) / 685

GCD(1, 685) = 685 / 685

GCD(1, 685) = 1

GCD of 31, 600, 278, 685 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 404, 499, 816
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• GCD of 72, 294, 256, 767

1. What is the GCD of 31, 600, 278, 685?

GCD of 31, 600, 278, 685 is 1

2. Where do I get the detailed procedure to find GCD of 31, 600, 278, 685?

You can find a detailed procedure to find GCD of 31, 600, 278, 685 on our page.

3. How to find GCD of 31, 600, 278, 685 on a calculator?

You can find the GCD of 31, 600, 278, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.