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 939, 678, 802, 538 i.e. 1 largest integer that divides all the numbers equally.
GCD of 939, 678, 802, 538 is 1
GCD(939, 678, 802, 538) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 939, 678, 802, 538 is 1
GCD(939, 678, 802, 538) = 1
Given Input numbers are 939, 678, 802, 538
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 939
List of positive integer divisors of 939 that divides 939 without a remainder.
1, 3, 313, 939
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Greatest Common Divisior
We found the divisors of 939, 678, 802, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 939, 678, 802, 538 is 1.
Therefore, GCD of numbers 939, 678, 802, 538 is 1
Given Input Data is 939, 678, 802, 538
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 939 is 3 x 313
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 802 is 2 x 401
Prime Factorization of 538 is 2 x 269
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(939, 678) = 212214
GCD(939, 678) = ( 939 x 678 ) / 212214
GCD(939, 678) = 636642 / 212214
GCD(939, 678) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 802) = 2406
GCD(3, 802) = ( 3 x 802 ) / 2406
GCD(3, 802) = 2406 / 2406
GCD(3, 802) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 538
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 538) = 538
GCD(1, 538) = ( 1 x 538 ) / 538
GCD(1, 538) = 538 / 538
GCD(1, 538) = 1
GCD of 939, 678, 802, 538 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 939, 678, 802, 538?
GCD of 939, 678, 802, 538 is 1
2. Where do I get the detailed procedure to find GCD of 939, 678, 802, 538?
You can find a detailed procedure to find GCD of 939, 678, 802, 538 on our page.
3. How to find GCD of 939, 678, 802, 538 on a calculator?
You can find the GCD of 939, 678, 802, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.