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 122, 468, 502, 647 i.e. 1 largest integer that divides all the numbers equally.
GCD of 122, 468, 502, 647 is 1
GCD(122, 468, 502, 647) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 122, 468, 502, 647 is 1
GCD(122, 468, 502, 647) = 1
Given Input numbers are 122, 468, 502, 647
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Divisors of 647
List of positive integer divisors of 647 that divides 647 without a remainder.
1, 647
Greatest Common Divisior
We found the divisors of 122, 468, 502, 647 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 468, 502, 647 is 1.
Therefore, GCD of numbers 122, 468, 502, 647 is 1
Given Input Data is 122, 468, 502, 647
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 122 is 2 x 61
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 502 is 2 x 251
Prime Factorization of 647 is 647
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(122, 468) = 28548
GCD(122, 468) = ( 122 x 468 ) / 28548
GCD(122, 468) = 57096 / 28548
GCD(122, 468) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 502
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 502) = 502
GCD(2, 502) = ( 2 x 502 ) / 502
GCD(2, 502) = 1004 / 502
GCD(2, 502) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 647
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 647) = 1294
GCD(2, 647) = ( 2 x 647 ) / 1294
GCD(2, 647) = 1294 / 1294
GCD(2, 647) = 1
GCD of 122, 468, 502, 647 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 122, 468, 502, 647?
GCD of 122, 468, 502, 647 is 1
2. Where do I get the detailed procedure to find GCD of 122, 468, 502, 647?
You can find a detailed procedure to find GCD of 122, 468, 502, 647 on our page.
3. How to find GCD of 122, 468, 502, 647 on a calculator?
You can find the GCD of 122, 468, 502, 647 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.