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 74, 684, 383, 184 i.e. 1 largest integer that divides all the numbers equally.
GCD of 74, 684, 383, 184 is 1
GCD(74, 684, 383, 184) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 74, 684, 383, 184 is 1
GCD(74, 684, 383, 184) = 1
Given Input numbers are 74, 684, 383, 184
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Greatest Common Divisior
We found the divisors of 74, 684, 383, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 684, 383, 184 is 1.
Therefore, GCD of numbers 74, 684, 383, 184 is 1
Given Input Data is 74, 684, 383, 184
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 74 is 2 x 37
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 383 is 383
Prime Factorization of 184 is 2 x 2 x 2 x 23
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(74, 684) = 25308
GCD(74, 684) = ( 74 x 684 ) / 25308
GCD(74, 684) = 50616 / 25308
GCD(74, 684) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 383
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 383) = 766
GCD(2, 383) = ( 2 x 383 ) / 766
GCD(2, 383) = 766 / 766
GCD(2, 383) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 184
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 184) = 184
GCD(1, 184) = ( 1 x 184 ) / 184
GCD(1, 184) = 184 / 184
GCD(1, 184) = 1
GCD of 74, 684, 383, 184 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 74, 684, 383, 184?
GCD of 74, 684, 383, 184 is 1
2. Where do I get the detailed procedure to find GCD of 74, 684, 383, 184?
You can find a detailed procedure to find GCD of 74, 684, 383, 184 on our page.
3. How to find GCD of 74, 684, 383, 184 on a calculator?
You can find the GCD of 74, 684, 383, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.