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 873, 374, 349, 968 i.e. 1 largest integer that divides all the numbers equally.
GCD of 873, 374, 349, 968 is 1
GCD(873, 374, 349, 968) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 873, 374, 349, 968 is 1
GCD(873, 374, 349, 968) = 1
Given Input numbers are 873, 374, 349, 968
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Greatest Common Divisior
We found the divisors of 873, 374, 349, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 374, 349, 968 is 1.
Therefore, GCD of numbers 873, 374, 349, 968 is 1
Given Input Data is 873, 374, 349, 968
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 349 is 349
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
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(873, 374) = 326502
GCD(873, 374) = ( 873 x 374 ) / 326502
GCD(873, 374) = 326502 / 326502
GCD(873, 374) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 349
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
GCD(1, 349) = 349 / 349
GCD(1, 349) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 968
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 968) = 968
GCD(1, 968) = ( 1 x 968 ) / 968
GCD(1, 968) = 968 / 968
GCD(1, 968) = 1
GCD of 873, 374, 349, 968 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 873, 374, 349, 968?
GCD of 873, 374, 349, 968 is 1
2. Where do I get the detailed procedure to find GCD of 873, 374, 349, 968?
You can find a detailed procedure to find GCD of 873, 374, 349, 968 on our page.
3. How to find GCD of 873, 374, 349, 968 on a calculator?
You can find the GCD of 873, 374, 349, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.