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 684, 430, 69, 126 i.e. 1 largest integer that divides all the numbers equally.
GCD of 684, 430, 69, 126 is 1
GCD(684, 430, 69, 126) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 684, 430, 69, 126 is 1
GCD(684, 430, 69, 126) = 1
Given Input numbers are 684, 430, 69, 126
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Greatest Common Divisior
We found the divisors of 684, 430, 69, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 430, 69, 126 is 1.
Therefore, GCD of numbers 684, 430, 69, 126 is 1
Given Input Data is 684, 430, 69, 126
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 430 is 2 x 5 x 43
Prime Factorization of 69 is 3 x 23
Prime Factorization of 126 is 2 x 3 x 3 x 7
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(684, 430) = 147060
GCD(684, 430) = ( 684 x 430 ) / 147060
GCD(684, 430) = 294120 / 147060
GCD(684, 430) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 69) = 138
GCD(2, 69) = ( 2 x 69 ) / 138
GCD(2, 69) = 138 / 138
GCD(2, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 126
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 126) = 126
GCD(1, 126) = ( 1 x 126 ) / 126
GCD(1, 126) = 126 / 126
GCD(1, 126) = 1
GCD of 684, 430, 69, 126 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 684, 430, 69, 126?
GCD of 684, 430, 69, 126 is 1
2. Where do I get the detailed procedure to find GCD of 684, 430, 69, 126?
You can find a detailed procedure to find GCD of 684, 430, 69, 126 on our page.
3. How to find GCD of 684, 430, 69, 126 on a calculator?
You can find the GCD of 684, 430, 69, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.