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 759, 779, 97, 772 i.e. 1 largest integer that divides all the numbers equally.
GCD of 759, 779, 97, 772 is 1
GCD(759, 779, 97, 772) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 759, 779, 97, 772 is 1
GCD(759, 779, 97, 772) = 1
Given Input numbers are 759, 779, 97, 772
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Greatest Common Divisior
We found the divisors of 759, 779, 97, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 779, 97, 772 is 1.
Therefore, GCD of numbers 759, 779, 97, 772 is 1
Given Input Data is 759, 779, 97, 772
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 779 is 19 x 41
Prime Factorization of 97 is 97
Prime Factorization of 772 is 2 x 2 x 193
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(759, 779) = 591261
GCD(759, 779) = ( 759 x 779 ) / 591261
GCD(759, 779) = 591261 / 591261
GCD(759, 779) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 97) = 97
GCD(1, 97) = ( 1 x 97 ) / 97
GCD(1, 97) = 97 / 97
GCD(1, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
GCD(1, 772) = 772 / 772
GCD(1, 772) = 1
GCD of 759, 779, 97, 772 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 759, 779, 97, 772?
GCD of 759, 779, 97, 772 is 1
2. Where do I get the detailed procedure to find GCD of 759, 779, 97, 772?
You can find a detailed procedure to find GCD of 759, 779, 97, 772 on our page.
3. How to find GCD of 759, 779, 97, 772 on a calculator?
You can find the GCD of 759, 779, 97, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.