GCD of 791, 987, 980, 319 Calculator

Given Input numbers are 791, 987, 980, 319

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

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 791, 987, 980, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 987, 980, 319 is 1.

Therefore, GCD of numbers 791, 987, 980, 319 is 1

Given Input Data is 791, 987, 980, 319

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

Prime Factorization of 791 is 7 x 113

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 319 is 11 x 29

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(791, 987) = 111531

GCD(791, 987) = ( 791 x 987 ) / 111531

GCD(791, 987) = 780717 / 111531

GCD(791, 987) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 980

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

LCM(7, 980) = 980

GCD(7, 980) = ( 7 x 980 ) / 980

GCD(7, 980) = 6860 / 980

GCD(7, 980) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 319

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

LCM(7, 319) = 2233

GCD(7, 319) = ( 7 x 319 ) / 2233

GCD(7, 319) = 2233 / 2233

GCD(7, 319) = 1

GCD of 791, 987, 980, 319 is 1

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1. What is the GCD of 791, 987, 980, 319?

GCD of 791, 987, 980, 319 is 1

2. Where do I get the detailed procedure to find GCD of 791, 987, 980, 319?

You can find a detailed procedure to find GCD of 791, 987, 980, 319 on our page.

3. How to find GCD of 791, 987, 980, 319 on a calculator?

You can find the GCD of 791, 987, 980, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.