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 213, 854, 375, 939 i.e. 1 largest integer that divides all the numbers equally.
GCD of 213, 854, 375, 939 is 1
GCD(213, 854, 375, 939) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 213, 854, 375, 939 is 1
GCD(213, 854, 375, 939) = 1
Given Input numbers are 213, 854, 375, 939
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 939
List of positive integer divisors of 939 that divides 939 without a remainder.
1, 3, 313, 939
Greatest Common Divisior
We found the divisors of 213, 854, 375, 939 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 854, 375, 939 is 1.
Therefore, GCD of numbers 213, 854, 375, 939 is 1
Given Input Data is 213, 854, 375, 939
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 213 is 3 x 71
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 939 is 3 x 313
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(213, 854) = 181902
GCD(213, 854) = ( 213 x 854 ) / 181902
GCD(213, 854) = 181902 / 181902
GCD(213, 854) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 375
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 375) = 375
GCD(1, 375) = ( 1 x 375 ) / 375
GCD(1, 375) = 375 / 375
GCD(1, 375) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 939
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 939) = 939
GCD(1, 939) = ( 1 x 939 ) / 939
GCD(1, 939) = 939 / 939
GCD(1, 939) = 1
GCD of 213, 854, 375, 939 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 213, 854, 375, 939?
GCD of 213, 854, 375, 939 is 1
2. Where do I get the detailed procedure to find GCD of 213, 854, 375, 939?
You can find a detailed procedure to find GCD of 213, 854, 375, 939 on our page.
3. How to find GCD of 213, 854, 375, 939 on a calculator?
You can find the GCD of 213, 854, 375, 939 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.