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, 567, 754 i.e. 1 largest integer that divides all the numbers equally.
GCD of 460, 567, 754 is 1
GCD(460, 567, 754) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 460, 567, 754 is 1
GCD(460, 567, 754) = 1
Given Input numbers are 460, 567, 754
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 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Greatest Common Divisior
We found the divisors of 460, 567, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 567, 754 is 1.
Therefore, GCD of numbers 460, 567, 754 is 1
Given Input Data is 460, 567, 754
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 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 754 is 2 x 13 x 29
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, 567) = 260820
GCD(460, 567) = ( 460 x 567 ) / 260820
GCD(460, 567) = 260820 / 260820
GCD(460, 567) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 754
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 754) = 754
GCD(1, 754) = ( 1 x 754 ) / 754
GCD(1, 754) = 754 / 754
GCD(1, 754) = 1
GCD of 460, 567, 754 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 460, 567, 754?
GCD of 460, 567, 754 is 1
2. Where do I get the detailed procedure to find GCD of 460, 567, 754?
You can find a detailed procedure to find GCD of 460, 567, 754 on our page.
3. How to find GCD of 460, 567, 754 on a calculator?
You can find the GCD of 460, 567, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.