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 474, 302, 849, 604 i.e. 1 largest integer that divides all the numbers equally.
GCD of 474, 302, 849, 604 is 1
GCD(474, 302, 849, 604) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 474, 302, 849, 604 is 1
GCD(474, 302, 849, 604) = 1
Given Input numbers are 474, 302, 849, 604
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Greatest Common Divisior
We found the divisors of 474, 302, 849, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 302, 849, 604 is 1.
Therefore, GCD of numbers 474, 302, 849, 604 is 1
Given Input Data is 474, 302, 849, 604
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 302 is 2 x 151
Prime Factorization of 849 is 3 x 283
Prime Factorization of 604 is 2 x 2 x 151
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(474, 302) = 71574
GCD(474, 302) = ( 474 x 302 ) / 71574
GCD(474, 302) = 143148 / 71574
GCD(474, 302) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 849
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 849) = 1698
GCD(2, 849) = ( 2 x 849 ) / 1698
GCD(2, 849) = 1698 / 1698
GCD(2, 849) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 604
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 604) = 604
GCD(1, 604) = ( 1 x 604 ) / 604
GCD(1, 604) = 604 / 604
GCD(1, 604) = 1
GCD of 474, 302, 849, 604 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 474, 302, 849, 604?
GCD of 474, 302, 849, 604 is 1
2. Where do I get the detailed procedure to find GCD of 474, 302, 849, 604?
You can find a detailed procedure to find GCD of 474, 302, 849, 604 on our page.
3. How to find GCD of 474, 302, 849, 604 on a calculator?
You can find the GCD of 474, 302, 849, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.