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 974, 933, 309, 604 i.e. 1 largest integer that divides all the numbers equally.
GCD of 974, 933, 309, 604 is 1
GCD(974, 933, 309, 604) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 974, 933, 309, 604 is 1
GCD(974, 933, 309, 604) = 1
Given Input numbers are 974, 933, 309, 604
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Greatest Common Divisior
We found the divisors of 974, 933, 309, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 933, 309, 604 is 1.
Therefore, GCD of numbers 974, 933, 309, 604 is 1
Given Input Data is 974, 933, 309, 604
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 974 is 2 x 487
Prime Factorization of 933 is 3 x 311
Prime Factorization of 309 is 3 x 103
Prime Factorization of 604 is 2 x 2 x 151
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(974, 933) = 908742
GCD(974, 933) = ( 974 x 933 ) / 908742
GCD(974, 933) = 908742 / 908742
GCD(974, 933) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 604
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 604) = 604
GCD(1, 604) = ( 1 x 604 ) / 604
GCD(1, 604) = 604 / 604
GCD(1, 604) = 1
GCD of 974, 933, 309, 604 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 974, 933, 309, 604?
GCD of 974, 933, 309, 604 is 1
2. Where do I get the detailed procedure to find GCD of 974, 933, 309, 604?
You can find a detailed procedure to find GCD of 974, 933, 309, 604 on our page.
3. How to find GCD of 974, 933, 309, 604 on a calculator?
You can find the GCD of 974, 933, 309, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.