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 394, 557, 60, 474 i.e. 1 largest integer that divides all the numbers equally.
GCD of 394, 557, 60, 474 is 1
GCD(394, 557, 60, 474) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 394, 557, 60, 474 is 1
GCD(394, 557, 60, 474) = 1
Given Input numbers are 394, 557, 60, 474
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 557
List of positive integer divisors of 557 that divides 557 without a remainder.
1, 557
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
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 394, 557, 60, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 557, 60, 474 is 1.
Therefore, GCD of numbers 394, 557, 60, 474 is 1
Given Input Data is 394, 557, 60, 474
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 394 is 2 x 197
Prime Factorization of 557 is 557
Prime Factorization of 60 is 2 x 2 x 3 x 5
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(394, 557) = 219458
GCD(394, 557) = ( 394 x 557 ) / 219458
GCD(394, 557) = 219458 / 219458
GCD(394, 557) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 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 394, 557, 60, 474 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 394, 557, 60, 474?
GCD of 394, 557, 60, 474 is 1
2. Where do I get the detailed procedure to find GCD of 394, 557, 60, 474?
You can find a detailed procedure to find GCD of 394, 557, 60, 474 on our page.
3. How to find GCD of 394, 557, 60, 474 on a calculator?
You can find the GCD of 394, 557, 60, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.