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, 173, 562, 498 i.e. 1 largest integer that divides all the numbers equally.
GCD of 129, 173, 562, 498 is 1
GCD(129, 173, 562, 498) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 129, 173, 562, 498 is 1
GCD(129, 173, 562, 498) = 1
Given Input numbers are 129, 173, 562, 498
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 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Greatest Common Divisior
We found the divisors of 129, 173, 562, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 173, 562, 498 is 1.
Therefore, GCD of numbers 129, 173, 562, 498 is 1
Given Input Data is 129, 173, 562, 498
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 129 is 3 x 43
Prime Factorization of 173 is 173
Prime Factorization of 562 is 2 x 281
Prime Factorization of 498 is 2 x 3 x 83
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, 173) = 22317
GCD(129, 173) = ( 129 x 173 ) / 22317
GCD(129, 173) = 22317 / 22317
GCD(129, 173) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 562
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 562) = 562
GCD(1, 562) = ( 1 x 562 ) / 562
GCD(1, 562) = 562 / 562
GCD(1, 562) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 498
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 498) = 498
GCD(1, 498) = ( 1 x 498 ) / 498
GCD(1, 498) = 498 / 498
GCD(1, 498) = 1
GCD of 129, 173, 562, 498 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 129, 173, 562, 498?
GCD of 129, 173, 562, 498 is 1
2. Where do I get the detailed procedure to find GCD of 129, 173, 562, 498?
You can find a detailed procedure to find GCD of 129, 173, 562, 498 on our page.
3. How to find GCD of 129, 173, 562, 498 on a calculator?
You can find the GCD of 129, 173, 562, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.