GCD of 138, 884, 599 Calculator
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 138, 884, 599 i.e. 1 largest integer that divides all the numbers equally.
GCD of 138, 884, 599 is 1
GCD(138, 884, 599) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 138, 884, 599 is 1
GCD(138, 884, 599) = 1
GCDof 138,884,599 is 1
Given Input numbers are 138, 884, 599
To find the GCD of numbers using factoring list out all the divisors of each number
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 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 599
List of positive integer divisors of 599 that divides 599 without a remainder.
1, 599
Greatest Common Divisior
We found the divisors of 138, 884, 599 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 884, 599 is 1.
Therefore, GCD of numbers 138, 884, 599 is 1
Given Input Data is 138, 884, 599
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 884 is 2 x 2 x 13 x 17
Prime Factorization of 599 is 599
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 138, 884, 599 using LCM Formula
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(138, 884) = 60996
GCD(138, 884) = ( 138 x 884 ) / 60996
GCD(138, 884) = 121992 / 60996
GCD(138, 884) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 599
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 599) = 1198
GCD(2, 599) = ( 2 x 599 ) / 1198
GCD(2, 599) = 1198 / 1198
GCD(2, 599) = 1
GCD of 138, 884, 599 is 1
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FAQs on GCD of numbers 138, 884, 599
1. What is the GCD of 138, 884, 599?
GCD of 138, 884, 599 is 1
2. Where do I get the detailed procedure to find GCD of 138, 884, 599?
You can find a detailed procedure to find GCD of 138, 884, 599 on our page.
3. How to find GCD of 138, 884, 599 on a calculator?
You can find the GCD of 138, 884, 599 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.