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 numbers 374, 971, 974, 309 is 1
GCD(374, 971, 974, 309) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.