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, 763, 37, 458 i.e. 1 largest integer that divides all the numbers equally.
GCD of 129, 763, 37, 458 is 1
GCD(129, 763, 37, 458) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 129, 763, 37, 458 is 1
GCD(129, 763, 37, 458) = 1
Given Input numbers are 129, 763, 37, 458
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 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 458
List of positive integer divisors of 458 that divides 458 without a remainder.
1, 2, 229, 458
Greatest Common Divisior
We found the divisors of 129, 763, 37, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 763, 37, 458 is 1.
Therefore, GCD of numbers 129, 763, 37, 458 is 1
Given Input Data is 129, 763, 37, 458
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 129 is 3 x 43
Prime Factorization of 763 is 7 x 109
Prime Factorization of 37 is 37
Prime Factorization of 458 is 2 x 229
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, 763) = 98427
GCD(129, 763) = ( 129 x 763 ) / 98427
GCD(129, 763) = 98427 / 98427
GCD(129, 763) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 37) = 37
GCD(1, 37) = ( 1 x 37 ) / 37
GCD(1, 37) = 37 / 37
GCD(1, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 458
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 458) = 458
GCD(1, 458) = ( 1 x 458 ) / 458
GCD(1, 458) = 458 / 458
GCD(1, 458) = 1
GCD of 129, 763, 37, 458 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 129, 763, 37, 458?
GCD of 129, 763, 37, 458 is 1
2. Where do I get the detailed procedure to find GCD of 129, 763, 37, 458?
You can find a detailed procedure to find GCD of 129, 763, 37, 458 on our page.
3. How to find GCD of 129, 763, 37, 458 on a calculator?
You can find the GCD of 129, 763, 37, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.