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 299, 742, 57, 789 i.e. 1 largest integer that divides all the numbers equally.
GCD of 299, 742, 57, 789 is 1
GCD(299, 742, 57, 789) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 299, 742, 57, 789 is 1
GCD(299, 742, 57, 789) = 1
Given Input numbers are 299, 742, 57, 789
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Greatest Common Divisior
We found the divisors of 299, 742, 57, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 742, 57, 789 is 1.
Therefore, GCD of numbers 299, 742, 57, 789 is 1
Given Input Data is 299, 742, 57, 789
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 299 is 13 x 23
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 57 is 3 x 19
Prime Factorization of 789 is 3 x 263
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(299, 742) = 221858
GCD(299, 742) = ( 299 x 742 ) / 221858
GCD(299, 742) = 221858 / 221858
GCD(299, 742) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 57) = 57
GCD(1, 57) = ( 1 x 57 ) / 57
GCD(1, 57) = 57 / 57
GCD(1, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 789) = 789
GCD(1, 789) = ( 1 x 789 ) / 789
GCD(1, 789) = 789 / 789
GCD(1, 789) = 1
GCD of 299, 742, 57, 789 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 299, 742, 57, 789?
GCD of 299, 742, 57, 789 is 1
2. Where do I get the detailed procedure to find GCD of 299, 742, 57, 789?
You can find a detailed procedure to find GCD of 299, 742, 57, 789 on our page.
3. How to find GCD of 299, 742, 57, 789 on a calculator?
You can find the GCD of 299, 742, 57, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.