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 487, 138, 129, 924 i.e. 1 largest integer that divides all the numbers equally.
GCD of 487, 138, 129, 924 is 1
GCD(487, 138, 129, 924) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 487, 138, 129, 924 is 1
GCD(487, 138, 129, 924) = 1
Given Input numbers are 487, 138, 129, 924
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Greatest Common Divisior
We found the divisors of 487, 138, 129, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 487, 138, 129, 924 is 1.
Therefore, GCD of numbers 487, 138, 129, 924 is 1
Given Input Data is 487, 138, 129, 924
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 487 is 487
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 129 is 3 x 43
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
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(487, 138) = 67206
GCD(487, 138) = ( 487 x 138 ) / 67206
GCD(487, 138) = 67206 / 67206
GCD(487, 138) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 129
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 129) = 129
GCD(1, 129) = ( 1 x 129 ) / 129
GCD(1, 129) = 129 / 129
GCD(1, 129) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 924) = 924
GCD(1, 924) = ( 1 x 924 ) / 924
GCD(1, 924) = 924 / 924
GCD(1, 924) = 1
GCD of 487, 138, 129, 924 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 487, 138, 129, 924?
GCD of 487, 138, 129, 924 is 1
2. Where do I get the detailed procedure to find GCD of 487, 138, 129, 924?
You can find a detailed procedure to find GCD of 487, 138, 129, 924 on our page.
3. How to find GCD of 487, 138, 129, 924 on a calculator?
You can find the GCD of 487, 138, 129, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.