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, 132, 681, 574 i.e. 1 largest integer that divides all the numbers equally.
GCD of 460, 132, 681, 574 is 1
GCD(460, 132, 681, 574) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 460, 132, 681, 574 is 1
GCD(460, 132, 681, 574) = 1
Given Input numbers are 460, 132, 681, 574
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 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Greatest Common Divisior
We found the divisors of 460, 132, 681, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 132, 681, 574 is 1.
Therefore, GCD of numbers 460, 132, 681, 574 is 1
Given Input Data is 460, 132, 681, 574
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 132 is 2 x 2 x 3 x 11
Prime Factorization of 681 is 3 x 227
Prime Factorization of 574 is 2 x 7 x 41
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, 132) = 15180
GCD(460, 132) = ( 460 x 132 ) / 15180
GCD(460, 132) = 60720 / 15180
GCD(460, 132) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 681
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 681) = 2724
GCD(4, 681) = ( 4 x 681 ) / 2724
GCD(4, 681) = 2724 / 2724
GCD(4, 681) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 574
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 574) = 574
GCD(1, 574) = ( 1 x 574 ) / 574
GCD(1, 574) = 574 / 574
GCD(1, 574) = 1
GCD of 460, 132, 681, 574 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 460, 132, 681, 574?
GCD of 460, 132, 681, 574 is 1
2. Where do I get the detailed procedure to find GCD of 460, 132, 681, 574?
You can find a detailed procedure to find GCD of 460, 132, 681, 574 on our page.
3. How to find GCD of 460, 132, 681, 574 on a calculator?
You can find the GCD of 460, 132, 681, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.