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 772, 287, 381, 507 i.e. 1 largest integer that divides all the numbers equally.
GCD of 772, 287, 381, 507 is 1
GCD(772, 287, 381, 507) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 772, 287, 381, 507 is 1
GCD(772, 287, 381, 507) = 1
Given Input numbers are 772, 287, 381, 507
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 287
List of positive integer divisors of 287 that divides 287 without a remainder.
1, 7, 41, 287
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Greatest Common Divisior
We found the divisors of 772, 287, 381, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 287, 381, 507 is 1.
Therefore, GCD of numbers 772, 287, 381, 507 is 1
Given Input Data is 772, 287, 381, 507
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 287 is 7 x 41
Prime Factorization of 381 is 3 x 127
Prime Factorization of 507 is 3 x 13 x 13
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(772, 287) = 221564
GCD(772, 287) = ( 772 x 287 ) / 221564
GCD(772, 287) = 221564 / 221564
GCD(772, 287) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 381
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 381) = 381
GCD(1, 381) = ( 1 x 381 ) / 381
GCD(1, 381) = 381 / 381
GCD(1, 381) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 507
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 507) = 507
GCD(1, 507) = ( 1 x 507 ) / 507
GCD(1, 507) = 507 / 507
GCD(1, 507) = 1
GCD of 772, 287, 381, 507 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 772, 287, 381, 507?
GCD of 772, 287, 381, 507 is 1
2. Where do I get the detailed procedure to find GCD of 772, 287, 381, 507?
You can find a detailed procedure to find GCD of 772, 287, 381, 507 on our page.
3. How to find GCD of 772, 287, 381, 507 on a calculator?
You can find the GCD of 772, 287, 381, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.