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 494, 291, 552, 279 i.e. 1 largest integer that divides all the numbers equally.
GCD of 494, 291, 552, 279 is 1
GCD(494, 291, 552, 279) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 494, 291, 552, 279 is 1
GCD(494, 291, 552, 279) = 1
Given Input numbers are 494, 291, 552, 279
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Greatest Common Divisior
We found the divisors of 494, 291, 552, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 291, 552, 279 is 1.
Therefore, GCD of numbers 494, 291, 552, 279 is 1
Given Input Data is 494, 291, 552, 279
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 291 is 3 x 97
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 279 is 3 x 3 x 31
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(494, 291) = 143754
GCD(494, 291) = ( 494 x 291 ) / 143754
GCD(494, 291) = 143754 / 143754
GCD(494, 291) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 552
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 552) = 552
GCD(1, 552) = ( 1 x 552 ) / 552
GCD(1, 552) = 552 / 552
GCD(1, 552) = 1
Step3:
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
GCD of 494, 291, 552, 279 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 494, 291, 552, 279?
GCD of 494, 291, 552, 279 is 1
2. Where do I get the detailed procedure to find GCD of 494, 291, 552, 279?
You can find a detailed procedure to find GCD of 494, 291, 552, 279 on our page.
3. How to find GCD of 494, 291, 552, 279 on a calculator?
You can find the GCD of 494, 291, 552, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.