GCD of 973, 616, 31, 880 Calculator

Given Input numbers are 973, 616, 31, 880

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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

Greatest Common Divisior

We found the divisors of 973, 616, 31, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 616, 31, 880 is 1.

Therefore, GCD of numbers 973, 616, 31, 880 is 1

Given Input Data is 973, 616, 31, 880

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

Prime Factorization of 973 is 7 x 139

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 31 is 31

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 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(973, 616) = 85624

GCD(973, 616) = ( 973 x 616 ) / 85624

GCD(973, 616) = 599368 / 85624

GCD(973, 616) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 31

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

LCM(7, 31) = 217

GCD(7, 31) = ( 7 x 31 ) / 217

GCD(7, 31) = 217 / 217

GCD(7, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 880

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

LCM(1, 880) = 880

GCD(1, 880) = ( 1 x 880 ) / 880

GCD(1, 880) = 880 / 880

GCD(1, 880) = 1

GCD of 973, 616, 31, 880 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 521, 156, 53, 398
• GCD of 189, 516, 29, 330
• GCD of 265, 148, 57, 994
• GCD of 788, 814, 82, 478
• GCD of 623, 194, 88, 885

1. What is the GCD of 973, 616, 31, 880?

GCD of 973, 616, 31, 880 is 1

2. Where do I get the detailed procedure to find GCD of 973, 616, 31, 880?

You can find a detailed procedure to find GCD of 973, 616, 31, 880 on our page.

3. How to find GCD of 973, 616, 31, 880 on a calculator?

You can find the GCD of 973, 616, 31, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.