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 592, 420, 311, 307 i.e. 1 largest integer that divides all the numbers equally.
GCD of 592, 420, 311, 307 is 1
GCD(592, 420, 311, 307) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 592, 420, 311, 307 is 1
GCD(592, 420, 311, 307) = 1
Given Input numbers are 592, 420, 311, 307
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 592
List of positive integer divisors of 592 that divides 592 without a remainder.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
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 592, 420, 311, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 420, 311, 307 is 1.
Therefore, GCD of numbers 592, 420, 311, 307 is 1
Given Input Data is 592, 420, 311, 307
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 311 is 311
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(592, 420) = 62160
GCD(592, 420) = ( 592 x 420 ) / 62160
GCD(592, 420) = 248640 / 62160
GCD(592, 420) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 311
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 311) = 1244
GCD(4, 311) = ( 4 x 311 ) / 1244
GCD(4, 311) = 1244 / 1244
GCD(4, 311) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 307
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 307) = 307
GCD(1, 307) = ( 1 x 307 ) / 307
GCD(1, 307) = 307 / 307
GCD(1, 307) = 1
GCD of 592, 420, 311, 307 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 592, 420, 311, 307?
GCD of 592, 420, 311, 307 is 1
2. Where do I get the detailed procedure to find GCD of 592, 420, 311, 307?
You can find a detailed procedure to find GCD of 592, 420, 311, 307 on our page.
3. How to find GCD of 592, 420, 311, 307 on a calculator?
You can find the GCD of 592, 420, 311, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.