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 129, 889, 196, 254 i.e. 1 largest integer that divides all the numbers equally.
GCD of 129, 889, 196, 254 is 1
GCD(129, 889, 196, 254) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 129, 889, 196, 254 is 1
GCD(129, 889, 196, 254) = 1
Given Input numbers are 129, 889, 196, 254
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Greatest Common Divisior
We found the divisors of 129, 889, 196, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 889, 196, 254 is 1.
Therefore, GCD of numbers 129, 889, 196, 254 is 1
Given Input Data is 129, 889, 196, 254
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 129 is 3 x 43
Prime Factorization of 889 is 7 x 127
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 254 is 2 x 127
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(129, 889) = 114681
GCD(129, 889) = ( 129 x 889 ) / 114681
GCD(129, 889) = 114681 / 114681
GCD(129, 889) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 196
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 196) = 196
GCD(1, 196) = ( 1 x 196 ) / 196
GCD(1, 196) = 196 / 196
GCD(1, 196) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 254
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 254) = 254
GCD(1, 254) = ( 1 x 254 ) / 254
GCD(1, 254) = 254 / 254
GCD(1, 254) = 1
GCD of 129, 889, 196, 254 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 129, 889, 196, 254?
GCD of 129, 889, 196, 254 is 1
2. Where do I get the detailed procedure to find GCD of 129, 889, 196, 254?
You can find a detailed procedure to find GCD of 129, 889, 196, 254 on our page.
3. How to find GCD of 129, 889, 196, 254 on a calculator?
You can find the GCD of 129, 889, 196, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.