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 382, 777, 980, 234 i.e. 1 largest integer that divides all the numbers equally.
GCD of 382, 777, 980, 234 is 1
GCD(382, 777, 980, 234) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 382, 777, 980, 234 is 1
GCD(382, 777, 980, 234) = 1
Given Input numbers are 382, 777, 980, 234
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Greatest Common Divisior
We found the divisors of 382, 777, 980, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 777, 980, 234 is 1.
Therefore, GCD of numbers 382, 777, 980, 234 is 1
Given Input Data is 382, 777, 980, 234
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 382 is 2 x 191
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
Prime Factorization of 234 is 2 x 3 x 3 x 13
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(382, 777) = 296814
GCD(382, 777) = ( 382 x 777 ) / 296814
GCD(382, 777) = 296814 / 296814
GCD(382, 777) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 980
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
GCD(1, 980) = 980 / 980
GCD(1, 980) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 234
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 234) = 234
GCD(1, 234) = ( 1 x 234 ) / 234
GCD(1, 234) = 234 / 234
GCD(1, 234) = 1
GCD of 382, 777, 980, 234 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 382, 777, 980, 234?
GCD of 382, 777, 980, 234 is 1
2. Where do I get the detailed procedure to find GCD of 382, 777, 980, 234?
You can find a detailed procedure to find GCD of 382, 777, 980, 234 on our page.
3. How to find GCD of 382, 777, 980, 234 on a calculator?
You can find the GCD of 382, 777, 980, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.