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 715, 468, 479, 132 i.e. 1 largest integer that divides all the numbers equally.
GCD of 715, 468, 479, 132 is 1
GCD(715, 468, 479, 132) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 715, 468, 479, 132 is 1
GCD(715, 468, 479, 132) = 1
Given Input numbers are 715, 468, 479, 132
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 479
List of positive integer divisors of 479 that divides 479 without a remainder.
1, 479
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
Greatest Common Divisior
We found the divisors of 715, 468, 479, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 468, 479, 132 is 1.
Therefore, GCD of numbers 715, 468, 479, 132 is 1
Given Input Data is 715, 468, 479, 132
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 479 is 479
Prime Factorization of 132 is 2 x 2 x 3 x 11
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(715, 468) = 25740
GCD(715, 468) = ( 715 x 468 ) / 25740
GCD(715, 468) = 334620 / 25740
GCD(715, 468) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 479
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 479) = 6227
GCD(13, 479) = ( 13 x 479 ) / 6227
GCD(13, 479) = 6227 / 6227
GCD(13, 479) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
GCD(1, 132) = 132 / 132
GCD(1, 132) = 1
GCD of 715, 468, 479, 132 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 715, 468, 479, 132?
GCD of 715, 468, 479, 132 is 1
2. Where do I get the detailed procedure to find GCD of 715, 468, 479, 132?
You can find a detailed procedure to find GCD of 715, 468, 479, 132 on our page.
3. How to find GCD of 715, 468, 479, 132 on a calculator?
You can find the GCD of 715, 468, 479, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.