GCD of 31, 880, 977, 123 Calculator

Given Input numbers are 31, 880, 977, 123

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 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 31, 880, 977, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 880, 977, 123 is 1.

Therefore, GCD of numbers 31, 880, 977, 123 is 1

Given Input Data is 31, 880, 977, 123

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 977 is 977

Prime Factorization of 123 is 3 x 41

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 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 31, 880, 977, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 321, 551, 167
• GCD of 92, 331, 870, 934
• GCD of 81, 197, 514, 630
• GCD of 18, 426, 484, 854
• GCD of 12, 200, 355, 296

1. What is the GCD of 31, 880, 977, 123?

GCD of 31, 880, 977, 123 is 1

2. Where do I get the detailed procedure to find GCD of 31, 880, 977, 123?

You can find a detailed procedure to find GCD of 31, 880, 977, 123 on our page.

3. How to find GCD of 31, 880, 977, 123 on a calculator?

You can find the GCD of 31, 880, 977, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.