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 922, 739, 913, 361 i.e. 1 largest integer that divides all the numbers equally.
GCD of 922, 739, 913, 361 is 1
GCD(922, 739, 913, 361) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 922, 739, 913, 361 is 1
GCD(922, 739, 913, 361) = 1
Given Input numbers are 922, 739, 913, 361
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Greatest Common Divisior
We found the divisors of 922, 739, 913, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 922, 739, 913, 361 is 1.
Therefore, GCD of numbers 922, 739, 913, 361 is 1
Given Input Data is 922, 739, 913, 361
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 922 is 2 x 461
Prime Factorization of 739 is 739
Prime Factorization of 913 is 11 x 83
Prime Factorization of 361 is 19 x 19
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(922, 739) = 681358
GCD(922, 739) = ( 922 x 739 ) / 681358
GCD(922, 739) = 681358 / 681358
GCD(922, 739) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 913) = 913
GCD(1, 913) = ( 1 x 913 ) / 913
GCD(1, 913) = 913 / 913
GCD(1, 913) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 361
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 361) = 361
GCD(1, 361) = ( 1 x 361 ) / 361
GCD(1, 361) = 361 / 361
GCD(1, 361) = 1
GCD of 922, 739, 913, 361 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 922, 739, 913, 361?
GCD of 922, 739, 913, 361 is 1
2. Where do I get the detailed procedure to find GCD of 922, 739, 913, 361?
You can find a detailed procedure to find GCD of 922, 739, 913, 361 on our page.
3. How to find GCD of 922, 739, 913, 361 on a calculator?
You can find the GCD of 922, 739, 913, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.