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 78, 320, 891, 188 i.e. 1 largest integer that divides all the numbers equally.
GCD of 78, 320, 891, 188 is 1
GCD(78, 320, 891, 188) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 78, 320, 891, 188 is 1
GCD(78, 320, 891, 188) = 1
Given Input numbers are 78, 320, 891, 188
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Greatest Common Divisior
We found the divisors of 78, 320, 891, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 320, 891, 188 is 1.
Therefore, GCD of numbers 78, 320, 891, 188 is 1
Given Input Data is 78, 320, 891, 188
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
Prime Factorization of 188 is 2 x 2 x 47
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(78, 320) = 12480
GCD(78, 320) = ( 78 x 320 ) / 12480
GCD(78, 320) = 24960 / 12480
GCD(78, 320) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 891
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 891) = 1782
GCD(2, 891) = ( 2 x 891 ) / 1782
GCD(2, 891) = 1782 / 1782
GCD(2, 891) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 188) = 188
GCD(1, 188) = ( 1 x 188 ) / 188
GCD(1, 188) = 188 / 188
GCD(1, 188) = 1
GCD of 78, 320, 891, 188 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 78, 320, 891, 188?
GCD of 78, 320, 891, 188 is 1
2. Where do I get the detailed procedure to find GCD of 78, 320, 891, 188?
You can find a detailed procedure to find GCD of 78, 320, 891, 188 on our page.
3. How to find GCD of 78, 320, 891, 188 on a calculator?
You can find the GCD of 78, 320, 891, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.