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 294, 797, 922, 738 i.e. 1 largest integer that divides all the numbers equally.
GCD of 294, 797, 922, 738 is 1
GCD(294, 797, 922, 738) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 294, 797, 922, 738 is 1
GCD(294, 797, 922, 738) = 1
Given Input numbers are 294, 797, 922, 738
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Greatest Common Divisior
We found the divisors of 294, 797, 922, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 797, 922, 738 is 1.
Therefore, GCD of numbers 294, 797, 922, 738 is 1
Given Input Data is 294, 797, 922, 738
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 797 is 797
Prime Factorization of 922 is 2 x 461
Prime Factorization of 738 is 2 x 3 x 3 x 41
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(294, 797) = 234318
GCD(294, 797) = ( 294 x 797 ) / 234318
GCD(294, 797) = 234318 / 234318
GCD(294, 797) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 922
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 922) = 922
GCD(1, 922) = ( 1 x 922 ) / 922
GCD(1, 922) = 922 / 922
GCD(1, 922) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 738
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 738) = 738
GCD(1, 738) = ( 1 x 738 ) / 738
GCD(1, 738) = 738 / 738
GCD(1, 738) = 1
GCD of 294, 797, 922, 738 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 294, 797, 922, 738?
GCD of 294, 797, 922, 738 is 1
2. Where do I get the detailed procedure to find GCD of 294, 797, 922, 738?
You can find a detailed procedure to find GCD of 294, 797, 922, 738 on our page.
3. How to find GCD of 294, 797, 922, 738 on a calculator?
You can find the GCD of 294, 797, 922, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.