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, 357, 24, 759 i.e. 1 largest integer that divides all the numbers equally.
GCD of 460, 357, 24, 759 is 1
GCD(460, 357, 24, 759) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 460, 357, 24, 759 is 1
GCD(460, 357, 24, 759) = 1
Given Input numbers are 460, 357, 24, 759
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 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Greatest Common Divisior
We found the divisors of 460, 357, 24, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 357, 24, 759 is 1.
Therefore, GCD of numbers 460, 357, 24, 759 is 1
Given Input Data is 460, 357, 24, 759
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 357 is 3 x 7 x 17
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 759 is 3 x 11 x 23
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, 357) = 164220
GCD(460, 357) = ( 460 x 357 ) / 164220
GCD(460, 357) = 164220 / 164220
GCD(460, 357) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 759
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 759) = 759
GCD(1, 759) = ( 1 x 759 ) / 759
GCD(1, 759) = 759 / 759
GCD(1, 759) = 1
GCD of 460, 357, 24, 759 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 460, 357, 24, 759?
GCD of 460, 357, 24, 759 is 1
2. Where do I get the detailed procedure to find GCD of 460, 357, 24, 759?
You can find a detailed procedure to find GCD of 460, 357, 24, 759 on our page.
3. How to find GCD of 460, 357, 24, 759 on a calculator?
You can find the GCD of 460, 357, 24, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.