GCD of 374, 971, 974, 309 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 374, 971, 974, 309 i.e. 1 largest integer that divides all the numbers equally.

GCD of 374, 971, 974, 309 is 1

GCD(374, 971, 974, 309) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 374, 971, 974, 309 is 1

GCD(374, 971, 974, 309) = 1

GCD of 374,971,974,309 Calculator

GCDof 374,971,974,309 is 1

Given Input numbers are 374, 971, 974, 309

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 374, 971, 974, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 971, 974, 309 is 1.

Therefore, GCD of numbers 374, 971, 974, 309 is 1

Finding GCD of 374, 971, 974, 309 using Prime Factorization

Given Input Data is 374, 971, 974, 309

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 971 is 971

Prime Factorization of 974 is 2 x 487

Prime Factorization of 309 is 3 x 103

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 374, 971, 974, 309 using LCM Formula

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(374, 971) = 363154

GCD(374, 971) = ( 374 x 971 ) / 363154

GCD(374, 971) = 363154 / 363154

GCD(374, 971) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 374, 971, 974, 309 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 374, 971, 974, 309

1. What is the GCD of 374, 971, 974, 309?

GCD of 374, 971, 974, 309 is 1


2. Where do I get the detailed procedure to find GCD of 374, 971, 974, 309?

You can find a detailed procedure to find GCD of 374, 971, 974, 309 on our page.


3. How to find GCD of 374, 971, 974, 309 on a calculator?

You can find the GCD of 374, 971, 974, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.