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 300, 635, 339, 138 i.e. 1 largest integer that divides all the numbers equally.
GCD of 300, 635, 339, 138 is 1
GCD(300, 635, 339, 138) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 300, 635, 339, 138 is 1
GCD(300, 635, 339, 138) = 1
Given Input numbers are 300, 635, 339, 138
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
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 300, 635, 339, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 635, 339, 138 is 1.
Therefore, GCD of numbers 300, 635, 339, 138 is 1
Given Input Data is 300, 635, 339, 138
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 635 is 5 x 127
Prime Factorization of 339 is 3 x 113
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(300, 635) = 38100
GCD(300, 635) = ( 300 x 635 ) / 38100
GCD(300, 635) = 190500 / 38100
GCD(300, 635) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 339) = 1695
GCD(5, 339) = ( 5 x 339 ) / 1695
GCD(5, 339) = 1695 / 1695
GCD(5, 339) = 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 300, 635, 339, 138 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 300, 635, 339, 138?
GCD of 300, 635, 339, 138 is 1
2. Where do I get the detailed procedure to find GCD of 300, 635, 339, 138?
You can find a detailed procedure to find GCD of 300, 635, 339, 138 on our page.
3. How to find GCD of 300, 635, 339, 138 on a calculator?
You can find the GCD of 300, 635, 339, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.