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, 429, 680, 218 i.e. 1 largest integer that divides all the numbers equally.
GCD of 117, 429, 680, 218 is 1
GCD(117, 429, 680, 218) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 117, 429, 680, 218 is 1
GCD(117, 429, 680, 218) = 1
Given Input numbers are 117, 429, 680, 218
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 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Greatest Common Divisior
We found the divisors of 117, 429, 680, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 429, 680, 218 is 1.
Therefore, GCD of numbers 117, 429, 680, 218 is 1
Given Input Data is 117, 429, 680, 218
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 429 is 3 x 11 x 13
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 218 is 2 x 109
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, 429) = 1287
GCD(117, 429) = ( 117 x 429 ) / 1287
GCD(117, 429) = 50193 / 1287
GCD(117, 429) = 39
Step2:
Here we consider the GCD from the above i.e. 39 as first number and the next as 680
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(39, 680) = 26520
GCD(39, 680) = ( 39 x 680 ) / 26520
GCD(39, 680) = 26520 / 26520
GCD(39, 680) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 218
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 218) = 218
GCD(1, 218) = ( 1 x 218 ) / 218
GCD(1, 218) = 218 / 218
GCD(1, 218) = 1
GCD of 117, 429, 680, 218 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 117, 429, 680, 218?
GCD of 117, 429, 680, 218 is 1
2. Where do I get the detailed procedure to find GCD of 117, 429, 680, 218?
You can find a detailed procedure to find GCD of 117, 429, 680, 218 on our page.
3. How to find GCD of 117, 429, 680, 218 on a calculator?
You can find the GCD of 117, 429, 680, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.