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 302, 474, 42, 307 i.e. 1 largest integer that divides all the numbers equally.
GCD of 302, 474, 42, 307 is 1
GCD(302, 474, 42, 307) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 302, 474, 42, 307 is 1
GCD(302, 474, 42, 307) = 1
Given Input numbers are 302, 474, 42, 307
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
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 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Greatest Common Divisior
We found the divisors of 302, 474, 42, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 474, 42, 307 is 1.
Therefore, GCD of numbers 302, 474, 42, 307 is 1
Given Input Data is 302, 474, 42, 307
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 302 is 2 x 151
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 307 is 307
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(302, 474) = 71574
GCD(302, 474) = ( 302 x 474 ) / 71574
GCD(302, 474) = 143148 / 71574
GCD(302, 474) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 42) = 42
GCD(2, 42) = ( 2 x 42 ) / 42
GCD(2, 42) = 84 / 42
GCD(2, 42) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 307
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 307) = 614
GCD(2, 307) = ( 2 x 307 ) / 614
GCD(2, 307) = 614 / 614
GCD(2, 307) = 1
GCD of 302, 474, 42, 307 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 302, 474, 42, 307?
GCD of 302, 474, 42, 307 is 1
2. Where do I get the detailed procedure to find GCD of 302, 474, 42, 307?
You can find a detailed procedure to find GCD of 302, 474, 42, 307 on our page.
3. How to find GCD of 302, 474, 42, 307 on a calculator?
You can find the GCD of 302, 474, 42, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.