GCD of 31, 880, 355, 924 Calculator

Given Input numbers are 31, 880, 355, 924

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 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 31, 880, 355, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 880, 355, 924 is 1.

Therefore, GCD of numbers 31, 880, 355, 924 is 1

Given Input Data is 31, 880, 355, 924

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

Prime Factorization of 31 is 31

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 355 is 5 x 71

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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, 880) = 27280

GCD(31, 880) = ( 31 x 880 ) / 27280

GCD(31, 880) = 27280 / 27280

GCD(31, 880) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

GCD of 31, 880, 355, 924 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 242, 388, 220
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• GCD of 68, 795, 546, 281
• GCD of 87, 633, 881, 126

1. What is the GCD of 31, 880, 355, 924?

GCD of 31, 880, 355, 924 is 1

2. Where do I get the detailed procedure to find GCD of 31, 880, 355, 924?

You can find a detailed procedure to find GCD of 31, 880, 355, 924 on our page.

3. How to find GCD of 31, 880, 355, 924 on a calculator?

You can find the GCD of 31, 880, 355, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.