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 460, 568, 186, 731 i.e. 1 largest integer that divides all the numbers equally.
GCD of 460, 568, 186, 731 is 1
GCD(460, 568, 186, 731) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 460, 568, 186, 731 is 1
GCD(460, 568, 186, 731) = 1
Given Input numbers are 460, 568, 186, 731
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 186
List of positive integer divisors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Greatest Common Divisior
We found the divisors of 460, 568, 186, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 568, 186, 731 is 1.
Therefore, GCD of numbers 460, 568, 186, 731 is 1
Given Input Data is 460, 568, 186, 731
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 568 is 2 x 2 x 2 x 71
Prime Factorization of 186 is 2 x 3 x 31
Prime Factorization of 731 is 17 x 43
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(460, 568) = 65320
GCD(460, 568) = ( 460 x 568 ) / 65320
GCD(460, 568) = 261280 / 65320
GCD(460, 568) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 186
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 186) = 372
GCD(4, 186) = ( 4 x 186 ) / 372
GCD(4, 186) = 744 / 372
GCD(4, 186) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 731) = 1462
GCD(2, 731) = ( 2 x 731 ) / 1462
GCD(2, 731) = 1462 / 1462
GCD(2, 731) = 1
GCD of 460, 568, 186, 731 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 460, 568, 186, 731?
GCD of 460, 568, 186, 731 is 1
2. Where do I get the detailed procedure to find GCD of 460, 568, 186, 731?
You can find a detailed procedure to find GCD of 460, 568, 186, 731 on our page.
3. How to find GCD of 460, 568, 186, 731 on a calculator?
You can find the GCD of 460, 568, 186, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.