GCD of 981, 714, 31, 379 Calculator

Given Input numbers are 981, 714, 31, 379

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

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Greatest Common Divisior

We found the divisors of 981, 714, 31, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 714, 31, 379 is 1.

Therefore, GCD of numbers 981, 714, 31, 379 is 1

Given Input Data is 981, 714, 31, 379

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

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 31 is 31

Prime Factorization of 379 is 379

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(981, 714) = 233478

GCD(981, 714) = ( 981 x 714 ) / 233478

GCD(981, 714) = 700434 / 233478

GCD(981, 714) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 31

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

LCM(3, 31) = 93

GCD(3, 31) = ( 3 x 31 ) / 93

GCD(3, 31) = 93 / 93

GCD(3, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 379

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

LCM(1, 379) = 379

GCD(1, 379) = ( 1 x 379 ) / 379

GCD(1, 379) = 379 / 379

GCD(1, 379) = 1

GCD of 981, 714, 31, 379 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 863, 302, 25, 988
• GCD of 891, 359, 56, 249
• GCD of 829, 681, 16, 876
• GCD of 572, 645, 44, 403
• GCD of 306, 365, 78, 208

1. What is the GCD of 981, 714, 31, 379?

GCD of 981, 714, 31, 379 is 1

2. Where do I get the detailed procedure to find GCD of 981, 714, 31, 379?

You can find a detailed procedure to find GCD of 981, 714, 31, 379 on our page.

3. How to find GCD of 981, 714, 31, 379 on a calculator?

You can find the GCD of 981, 714, 31, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.