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, 978, 654, 437 i.e. 1 largest integer that divides all the numbers equally.
GCD of 939, 978, 654, 437 is 1
GCD(939, 978, 654, 437) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 939, 978, 654, 437 is 1
GCD(939, 978, 654, 437) = 1
Given Input numbers are 939, 978, 654, 437
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 978
List of positive integer divisors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Greatest Common Divisior
We found the divisors of 939, 978, 654, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 939, 978, 654, 437 is 1.
Therefore, GCD of numbers 939, 978, 654, 437 is 1
Given Input Data is 939, 978, 654, 437
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 939 is 3 x 313
Prime Factorization of 978 is 2 x 3 x 163
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 437 is 19 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(939, 978) = 306114
GCD(939, 978) = ( 939 x 978 ) / 306114
GCD(939, 978) = 918342 / 306114
GCD(939, 978) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 654
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 654) = 654
GCD(3, 654) = ( 3 x 654 ) / 654
GCD(3, 654) = 1962 / 654
GCD(3, 654) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 437
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 437) = 1311
GCD(3, 437) = ( 3 x 437 ) / 1311
GCD(3, 437) = 1311 / 1311
GCD(3, 437) = 1
GCD of 939, 978, 654, 437 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 939, 978, 654, 437?
GCD of 939, 978, 654, 437 is 1
2. Where do I get the detailed procedure to find GCD of 939, 978, 654, 437?
You can find a detailed procedure to find GCD of 939, 978, 654, 437 on our page.
3. How to find GCD of 939, 978, 654, 437 on a calculator?
You can find the GCD of 939, 978, 654, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.