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, 124, 24, 421 i.e. 1 largest integer that divides all the numbers equally.
GCD of 291, 124, 24, 421 is 1
GCD(291, 124, 24, 421) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 291, 124, 24, 421 is 1
GCD(291, 124, 24, 421) = 1
Given Input numbers are 291, 124, 24, 421
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 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Greatest Common Divisior
We found the divisors of 291, 124, 24, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 124, 24, 421 is 1.
Therefore, GCD of numbers 291, 124, 24, 421 is 1
Given Input Data is 291, 124, 24, 421
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 291 is 3 x 97
Prime Factorization of 124 is 2 x 2 x 31
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 421 is 421
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, 124) = 36084
GCD(291, 124) = ( 291 x 124 ) / 36084
GCD(291, 124) = 36084 / 36084
GCD(291, 124) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 421
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 421) = 421
GCD(1, 421) = ( 1 x 421 ) / 421
GCD(1, 421) = 421 / 421
GCD(1, 421) = 1
GCD of 291, 124, 24, 421 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 291, 124, 24, 421?
GCD of 291, 124, 24, 421 is 1
2. Where do I get the detailed procedure to find GCD of 291, 124, 24, 421?
You can find a detailed procedure to find GCD of 291, 124, 24, 421 on our page.
3. How to find GCD of 291, 124, 24, 421 on a calculator?
You can find the GCD of 291, 124, 24, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.