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, 628, 396, 460 i.e. 1 largest integer that divides all the numbers equally.
GCD of 715, 628, 396, 460 is 1
GCD(715, 628, 396, 460) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 715, 628, 396, 460 is 1
GCD(715, 628, 396, 460) = 1
Given Input numbers are 715, 628, 396, 460
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 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
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
Greatest Common Divisior
We found the divisors of 715, 628, 396, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 628, 396, 460 is 1.
Therefore, GCD of numbers 715, 628, 396, 460 is 1
Given Input Data is 715, 628, 396, 460
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 628 is 2 x 2 x 157
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 460 is 2 x 2 x 5 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(715, 628) = 449020
GCD(715, 628) = ( 715 x 628 ) / 449020
GCD(715, 628) = 449020 / 449020
GCD(715, 628) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
GCD(1, 460) = 460 / 460
GCD(1, 460) = 1
GCD of 715, 628, 396, 460 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 715, 628, 396, 460?
GCD of 715, 628, 396, 460 is 1
2. Where do I get the detailed procedure to find GCD of 715, 628, 396, 460?
You can find a detailed procedure to find GCD of 715, 628, 396, 460 on our page.
3. How to find GCD of 715, 628, 396, 460 on a calculator?
You can find the GCD of 715, 628, 396, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.