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 468, 364, 655, 138 i.e. 1 largest integer that divides all the numbers equally.
GCD of 468, 364, 655, 138 is 1
GCD(468, 364, 655, 138) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 468, 364, 655, 138 is 1
GCD(468, 364, 655, 138) = 1
Given Input numbers are 468, 364, 655, 138
To find the GCD of numbers using factoring list out all the divisors of each number
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 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Greatest Common Divisior
We found the divisors of 468, 364, 655, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 364, 655, 138 is 1.
Therefore, GCD of numbers 468, 364, 655, 138 is 1
Given Input Data is 468, 364, 655, 138
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 655 is 5 x 131
Prime Factorization of 138 is 2 x 3 x 23
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(468, 364) = 3276
GCD(468, 364) = ( 468 x 364 ) / 3276
GCD(468, 364) = 170352 / 3276
GCD(468, 364) = 52
Step2:
Here we consider the GCD from the above i.e. 52 as first number and the next as 655
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(52, 655) = 34060
GCD(52, 655) = ( 52 x 655 ) / 34060
GCD(52, 655) = 34060 / 34060
GCD(52, 655) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 138
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
GCD(1, 138) = 138 / 138
GCD(1, 138) = 1
GCD of 468, 364, 655, 138 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 468, 364, 655, 138?
GCD of 468, 364, 655, 138 is 1
2. Where do I get the detailed procedure to find GCD of 468, 364, 655, 138?
You can find a detailed procedure to find GCD of 468, 364, 655, 138 on our page.
3. How to find GCD of 468, 364, 655, 138 on a calculator?
You can find the GCD of 468, 364, 655, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.