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 764, 382, 750, 889 i.e. 1 largest integer that divides all the numbers equally.
GCD of 764, 382, 750, 889 is 1
GCD(764, 382, 750, 889) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 764, 382, 750, 889 is 1
GCD(764, 382, 750, 889) = 1
Given Input numbers are 764, 382, 750, 889
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Greatest Common Divisior
We found the divisors of 764, 382, 750, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 382, 750, 889 is 1.
Therefore, GCD of numbers 764, 382, 750, 889 is 1
Given Input Data is 764, 382, 750, 889
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 382 is 2 x 191
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 889 is 7 x 127
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(764, 382) = 764
GCD(764, 382) = ( 764 x 382 ) / 764
GCD(764, 382) = 291848 / 764
GCD(764, 382) = 382
Step2:
Here we consider the GCD from the above i.e. 382 as first number and the next as 750
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(382, 750) = 143250
GCD(382, 750) = ( 382 x 750 ) / 143250
GCD(382, 750) = 286500 / 143250
GCD(382, 750) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 889
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 889) = 1778
GCD(2, 889) = ( 2 x 889 ) / 1778
GCD(2, 889) = 1778 / 1778
GCD(2, 889) = 1
GCD of 764, 382, 750, 889 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 764, 382, 750, 889?
GCD of 764, 382, 750, 889 is 1
2. Where do I get the detailed procedure to find GCD of 764, 382, 750, 889?
You can find a detailed procedure to find GCD of 764, 382, 750, 889 on our page.
3. How to find GCD of 764, 382, 750, 889 on a calculator?
You can find the GCD of 764, 382, 750, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.