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 476, 579, 294, 398 i.e. 1 largest integer that divides all the numbers equally.
GCD of 476, 579, 294, 398 is 1
GCD(476, 579, 294, 398) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 476, 579, 294, 398 is 1
GCD(476, 579, 294, 398) = 1
Given Input numbers are 476, 579, 294, 398
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 579
List of positive integer divisors of 579 that divides 579 without a remainder.
1, 3, 193, 579
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 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Greatest Common Divisior
We found the divisors of 476, 579, 294, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 579, 294, 398 is 1.
Therefore, GCD of numbers 476, 579, 294, 398 is 1
Given Input Data is 476, 579, 294, 398
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 579 is 3 x 193
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 398 is 2 x 199
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(476, 579) = 275604
GCD(476, 579) = ( 476 x 579 ) / 275604
GCD(476, 579) = 275604 / 275604
GCD(476, 579) = 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 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
GCD(1, 398) = 398 / 398
GCD(1, 398) = 1
GCD of 476, 579, 294, 398 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 476, 579, 294, 398?
GCD of 476, 579, 294, 398 is 1
2. Where do I get the detailed procedure to find GCD of 476, 579, 294, 398?
You can find a detailed procedure to find GCD of 476, 579, 294, 398 on our page.
3. How to find GCD of 476, 579, 294, 398 on a calculator?
You can find the GCD of 476, 579, 294, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.