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, 555, 381, 787 i.e. 1 largest integer that divides all the numbers equally.
GCD of 715, 555, 381, 787 is 1
GCD(715, 555, 381, 787) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 715, 555, 381, 787 is 1
GCD(715, 555, 381, 787) = 1
Given Input numbers are 715, 555, 381, 787
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 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Greatest Common Divisior
We found the divisors of 715, 555, 381, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 555, 381, 787 is 1.
Therefore, GCD of numbers 715, 555, 381, 787 is 1
Given Input Data is 715, 555, 381, 787
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 555 is 3 x 5 x 37
Prime Factorization of 381 is 3 x 127
Prime Factorization of 787 is 787
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, 555) = 79365
GCD(715, 555) = ( 715 x 555 ) / 79365
GCD(715, 555) = 396825 / 79365
GCD(715, 555) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 381
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 381) = 1905
GCD(5, 381) = ( 5 x 381 ) / 1905
GCD(5, 381) = 1905 / 1905
GCD(5, 381) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 787
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 787) = 787
GCD(1, 787) = ( 1 x 787 ) / 787
GCD(1, 787) = 787 / 787
GCD(1, 787) = 1
GCD of 715, 555, 381, 787 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 715, 555, 381, 787?
GCD of 715, 555, 381, 787 is 1
2. Where do I get the detailed procedure to find GCD of 715, 555, 381, 787?
You can find a detailed procedure to find GCD of 715, 555, 381, 787 on our page.
3. How to find GCD of 715, 555, 381, 787 on a calculator?
You can find the GCD of 715, 555, 381, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.