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 117, 286, 460, 542 i.e. 1 largest integer that divides all the numbers equally.
GCD of 117, 286, 460, 542 is 1
GCD(117, 286, 460, 542) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 117, 286, 460, 542 is 1
GCD(117, 286, 460, 542) = 1
Given Input numbers are 117, 286, 460, 542
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Greatest Common Divisior
We found the divisors of 117, 286, 460, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 286, 460, 542 is 1.
Therefore, GCD of numbers 117, 286, 460, 542 is 1
Given Input Data is 117, 286, 460, 542
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 286 is 2 x 11 x 13
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 542 is 2 x 271
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(117, 286) = 2574
GCD(117, 286) = ( 117 x 286 ) / 2574
GCD(117, 286) = 33462 / 2574
GCD(117, 286) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 460) = 5980
GCD(13, 460) = ( 13 x 460 ) / 5980
GCD(13, 460) = 5980 / 5980
GCD(13, 460) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 542
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 542) = 542
GCD(1, 542) = ( 1 x 542 ) / 542
GCD(1, 542) = 542 / 542
GCD(1, 542) = 1
GCD of 117, 286, 460, 542 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 117, 286, 460, 542?
GCD of 117, 286, 460, 542 is 1
2. Where do I get the detailed procedure to find GCD of 117, 286, 460, 542?
You can find a detailed procedure to find GCD of 117, 286, 460, 542 on our page.
3. How to find GCD of 117, 286, 460, 542 on a calculator?
You can find the GCD of 117, 286, 460, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.