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 973, 874, 279, 392 i.e. 1 largest integer that divides all the numbers equally.
GCD of 973, 874, 279, 392 is 1
GCD(973, 874, 279, 392) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 973, 874, 279, 392 is 1
GCD(973, 874, 279, 392) = 1
Given Input numbers are 973, 874, 279, 392
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Greatest Common Divisior
We found the divisors of 973, 874, 279, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 874, 279, 392 is 1.
Therefore, GCD of numbers 973, 874, 279, 392 is 1
Given Input Data is 973, 874, 279, 392
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 973 is 7 x 139
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
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(973, 874) = 850402
GCD(973, 874) = ( 973 x 874 ) / 850402
GCD(973, 874) = 850402 / 850402
GCD(973, 874) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 279) = 279
GCD(1, 279) = ( 1 x 279 ) / 279
GCD(1, 279) = 279 / 279
GCD(1, 279) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 392) = 392
GCD(1, 392) = ( 1 x 392 ) / 392
GCD(1, 392) = 392 / 392
GCD(1, 392) = 1
GCD of 973, 874, 279, 392 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 973, 874, 279, 392?
GCD of 973, 874, 279, 392 is 1
2. Where do I get the detailed procedure to find GCD of 973, 874, 279, 392?
You can find a detailed procedure to find GCD of 973, 874, 279, 392 on our page.
3. How to find GCD of 973, 874, 279, 392 on a calculator?
You can find the GCD of 973, 874, 279, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.