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 772, 468, 84, 293 i.e. 1 largest integer that divides all the numbers equally.
GCD of 772, 468, 84, 293 is 1
GCD(772, 468, 84, 293) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 772, 468, 84, 293 is 1
GCD(772, 468, 84, 293) = 1
Given Input numbers are 772, 468, 84, 293
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Greatest Common Divisior
We found the divisors of 772, 468, 84, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 468, 84, 293 is 1.
Therefore, GCD of numbers 772, 468, 84, 293 is 1
Given Input Data is 772, 468, 84, 293
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 293 is 293
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(772, 468) = 90324
GCD(772, 468) = ( 772 x 468 ) / 90324
GCD(772, 468) = 361296 / 90324
GCD(772, 468) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 84) = 84
GCD(4, 84) = ( 4 x 84 ) / 84
GCD(4, 84) = 336 / 84
GCD(4, 84) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 293
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 293) = 1172
GCD(4, 293) = ( 4 x 293 ) / 1172
GCD(4, 293) = 1172 / 1172
GCD(4, 293) = 1
GCD of 772, 468, 84, 293 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 772, 468, 84, 293?
GCD of 772, 468, 84, 293 is 1
2. Where do I get the detailed procedure to find GCD of 772, 468, 84, 293?
You can find a detailed procedure to find GCD of 772, 468, 84, 293 on our page.
3. How to find GCD of 772, 468, 84, 293 on a calculator?
You can find the GCD of 772, 468, 84, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.