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, 557, 294, 474 i.e. 1 largest integer that divides all the numbers equally.
GCD of 494, 557, 294, 474 is 1
GCD(494, 557, 294, 474) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 494, 557, 294, 474 is 1
GCD(494, 557, 294, 474) = 1
Given Input numbers are 494, 557, 294, 474
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 557
List of positive integer divisors of 557 that divides 557 without a remainder.
1, 557
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 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Greatest Common Divisior
We found the divisors of 494, 557, 294, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 557, 294, 474 is 1.
Therefore, GCD of numbers 494, 557, 294, 474 is 1
Given Input Data is 494, 557, 294, 474
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 557 is 557
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 474 is 2 x 3 x 79
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, 557) = 275158
GCD(494, 557) = ( 494 x 557 ) / 275158
GCD(494, 557) = 275158 / 275158
GCD(494, 557) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 294
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 294) = 294
GCD(1, 294) = ( 1 x 294 ) / 294
GCD(1, 294) = 294 / 294
GCD(1, 294) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 474
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 474) = 474
GCD(1, 474) = ( 1 x 474 ) / 474
GCD(1, 474) = 474 / 474
GCD(1, 474) = 1
GCD of 494, 557, 294, 474 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 494, 557, 294, 474?
GCD of 494, 557, 294, 474 is 1
2. Where do I get the detailed procedure to find GCD of 494, 557, 294, 474?
You can find a detailed procedure to find GCD of 494, 557, 294, 474 on our page.
3. How to find GCD of 494, 557, 294, 474 on a calculator?
You can find the GCD of 494, 557, 294, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.