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 242, 464, 43, 399 i.e. 1 largest integer that divides all the numbers equally.
GCD of 242, 464, 43, 399 is 1
GCD(242, 464, 43, 399) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 242, 464, 43, 399 is 1
GCD(242, 464, 43, 399) = 1
Given Input numbers are 242, 464, 43, 399
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Greatest Common Divisior
We found the divisors of 242, 464, 43, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 464, 43, 399 is 1.
Therefore, GCD of numbers 242, 464, 43, 399 is 1
Given Input Data is 242, 464, 43, 399
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 43 is 43
Prime Factorization of 399 is 3 x 7 x 19
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(242, 464) = 56144
GCD(242, 464) = ( 242 x 464 ) / 56144
GCD(242, 464) = 112288 / 56144
GCD(242, 464) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 43) = 86
GCD(2, 43) = ( 2 x 43 ) / 86
GCD(2, 43) = 86 / 86
GCD(2, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 399
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 399) = 399
GCD(1, 399) = ( 1 x 399 ) / 399
GCD(1, 399) = 399 / 399
GCD(1, 399) = 1
GCD of 242, 464, 43, 399 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 242, 464, 43, 399?
GCD of 242, 464, 43, 399 is 1
2. Where do I get the detailed procedure to find GCD of 242, 464, 43, 399?
You can find a detailed procedure to find GCD of 242, 464, 43, 399 on our page.
3. How to find GCD of 242, 464, 43, 399 on a calculator?
You can find the GCD of 242, 464, 43, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.