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 788, 922, 55, 839 i.e. 1 largest integer that divides all the numbers equally.
GCD of 788, 922, 55, 839 is 1
GCD(788, 922, 55, 839) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 788, 922, 55, 839 is 1
GCD(788, 922, 55, 839) = 1
Given Input numbers are 788, 922, 55, 839
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 839
List of positive integer divisors of 839 that divides 839 without a remainder.
1, 839
Greatest Common Divisior
We found the divisors of 788, 922, 55, 839 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 922, 55, 839 is 1.
Therefore, GCD of numbers 788, 922, 55, 839 is 1
Given Input Data is 788, 922, 55, 839
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 922 is 2 x 461
Prime Factorization of 55 is 5 x 11
Prime Factorization of 839 is 839
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(788, 922) = 363268
GCD(788, 922) = ( 788 x 922 ) / 363268
GCD(788, 922) = 726536 / 363268
GCD(788, 922) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 55) = 110
GCD(2, 55) = ( 2 x 55 ) / 110
GCD(2, 55) = 110 / 110
GCD(2, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 839
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 839) = 839
GCD(1, 839) = ( 1 x 839 ) / 839
GCD(1, 839) = 839 / 839
GCD(1, 839) = 1
GCD of 788, 922, 55, 839 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 788, 922, 55, 839?
GCD of 788, 922, 55, 839 is 1
2. Where do I get the detailed procedure to find GCD of 788, 922, 55, 839?
You can find a detailed procedure to find GCD of 788, 922, 55, 839 on our page.
3. How to find GCD of 788, 922, 55, 839 on a calculator?
You can find the GCD of 788, 922, 55, 839 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.