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 470, 586, 307, 601 i.e. 1 largest integer that divides all the numbers equally.
GCD of 470, 586, 307, 601 is 1
GCD(470, 586, 307, 601) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 470, 586, 307, 601 is 1
GCD(470, 586, 307, 601) = 1
Given Input numbers are 470, 586, 307, 601
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 586
List of positive integer divisors of 586 that divides 586 without a remainder.
1, 2, 293, 586
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Greatest Common Divisior
We found the divisors of 470, 586, 307, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 586, 307, 601 is 1.
Therefore, GCD of numbers 470, 586, 307, 601 is 1
Given Input Data is 470, 586, 307, 601
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 586 is 2 x 293
Prime Factorization of 307 is 307
Prime Factorization of 601 is 601
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(470, 586) = 137710
GCD(470, 586) = ( 470 x 586 ) / 137710
GCD(470, 586) = 275420 / 137710
GCD(470, 586) = 2
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 601
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 601) = 601
GCD(1, 601) = ( 1 x 601 ) / 601
GCD(1, 601) = 601 / 601
GCD(1, 601) = 1
GCD of 470, 586, 307, 601 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 470, 586, 307, 601?
GCD of 470, 586, 307, 601 is 1
2. Where do I get the detailed procedure to find GCD of 470, 586, 307, 601?
You can find a detailed procedure to find GCD of 470, 586, 307, 601 on our page.
3. How to find GCD of 470, 586, 307, 601 on a calculator?
You can find the GCD of 470, 586, 307, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.