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, 602, 986, 291 i.e. 1 largest integer that divides all the numbers equally.
GCD of 772, 602, 986, 291 is 1
GCD(772, 602, 986, 291) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 772, 602, 986, 291 is 1
GCD(772, 602, 986, 291) = 1
Given Input numbers are 772, 602, 986, 291
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 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Greatest Common Divisior
We found the divisors of 772, 602, 986, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 602, 986, 291 is 1.
Therefore, GCD of numbers 772, 602, 986, 291 is 1
Given Input Data is 772, 602, 986, 291
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 602 is 2 x 7 x 43
Prime Factorization of 986 is 2 x 17 x 29
Prime Factorization of 291 is 3 x 97
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, 602) = 232372
GCD(772, 602) = ( 772 x 602 ) / 232372
GCD(772, 602) = 464744 / 232372
GCD(772, 602) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 986
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 986) = 986
GCD(2, 986) = ( 2 x 986 ) / 986
GCD(2, 986) = 1972 / 986
GCD(2, 986) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 291
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 291) = 582
GCD(2, 291) = ( 2 x 291 ) / 582
GCD(2, 291) = 582 / 582
GCD(2, 291) = 1
GCD of 772, 602, 986, 291 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 772, 602, 986, 291?
GCD of 772, 602, 986, 291 is 1
2. Where do I get the detailed procedure to find GCD of 772, 602, 986, 291?
You can find a detailed procedure to find GCD of 772, 602, 986, 291 on our page.
3. How to find GCD of 772, 602, 986, 291 on a calculator?
You can find the GCD of 772, 602, 986, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.