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 291, 184, 120, 408 i.e. 1 largest integer that divides all the numbers equally.
GCD of 291, 184, 120, 408 is 1
GCD(291, 184, 120, 408) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 291, 184, 120, 408 is 1
GCD(291, 184, 120, 408) = 1
Given Input numbers are 291, 184, 120, 408
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Greatest Common Divisior
We found the divisors of 291, 184, 120, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 184, 120, 408 is 1.
Therefore, GCD of numbers 291, 184, 120, 408 is 1
Given Input Data is 291, 184, 120, 408
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 291 is 3 x 97
Prime Factorization of 184 is 2 x 2 x 2 x 23
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
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(291, 184) = 53544
GCD(291, 184) = ( 291 x 184 ) / 53544
GCD(291, 184) = 53544 / 53544
GCD(291, 184) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 120
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
GCD(1, 120) = 120 / 120
GCD(1, 120) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 408
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 408) = 408
GCD(1, 408) = ( 1 x 408 ) / 408
GCD(1, 408) = 408 / 408
GCD(1, 408) = 1
GCD of 291, 184, 120, 408 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 291, 184, 120, 408?
GCD of 291, 184, 120, 408 is 1
2. Where do I get the detailed procedure to find GCD of 291, 184, 120, 408?
You can find a detailed procedure to find GCD of 291, 184, 120, 408 on our page.
3. How to find GCD of 291, 184, 120, 408 on a calculator?
You can find the GCD of 291, 184, 120, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.