GCD of 31, 680, 893, 905 Calculator

Given Input numbers are 31, 680, 893, 905

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 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 31, 680, 893, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 680, 893, 905 is 1.

Therefore, GCD of numbers 31, 680, 893, 905 is 1

Given Input Data is 31, 680, 893, 905

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

Prime Factorization of 31 is 31

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 893 is 19 x 47

Prime Factorization of 905 is 5 x 181

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, 680) = 21080

GCD(31, 680) = ( 31 x 680 ) / 21080

GCD(31, 680) = 21080 / 21080

GCD(31, 680) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 893

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

LCM(1, 893) = 893

GCD(1, 893) = ( 1 x 893 ) / 893

GCD(1, 893) = 893 / 893

GCD(1, 893) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 905

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

LCM(1, 905) = 905

GCD(1, 905) = ( 1 x 905 ) / 905

GCD(1, 905) = 905 / 905

GCD(1, 905) = 1

GCD of 31, 680, 893, 905 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 749, 366, 451
• GCD of 68, 338, 498, 893
• GCD of 37, 223, 750, 675
• GCD of 82, 619, 581, 827
• GCD of 33, 402, 595, 992

1. What is the GCD of 31, 680, 893, 905?

GCD of 31, 680, 893, 905 is 1

2. Where do I get the detailed procedure to find GCD of 31, 680, 893, 905?

You can find a detailed procedure to find GCD of 31, 680, 893, 905 on our page.

3. How to find GCD of 31, 680, 893, 905 on a calculator?

You can find the GCD of 31, 680, 893, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.