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 760, 894, 389, 971 i.e. 1 largest integer that divides all the numbers equally.
GCD of 760, 894, 389, 971 is 1
GCD(760, 894, 389, 971) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 760, 894, 389, 971 is 1
GCD(760, 894, 389, 971) = 1
Given Input numbers are 760, 894, 389, 971
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Greatest Common Divisior
We found the divisors of 760, 894, 389, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 894, 389, 971 is 1.
Therefore, GCD of numbers 760, 894, 389, 971 is 1
Given Input Data is 760, 894, 389, 971
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 389 is 389
Prime Factorization of 971 is 971
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(760, 894) = 339720
GCD(760, 894) = ( 760 x 894 ) / 339720
GCD(760, 894) = 679440 / 339720
GCD(760, 894) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 389
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 389) = 778
GCD(2, 389) = ( 2 x 389 ) / 778
GCD(2, 389) = 778 / 778
GCD(2, 389) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 971
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 971) = 971
GCD(1, 971) = ( 1 x 971 ) / 971
GCD(1, 971) = 971 / 971
GCD(1, 971) = 1
GCD of 760, 894, 389, 971 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 760, 894, 389, 971?
GCD of 760, 894, 389, 971 is 1
2. Where do I get the detailed procedure to find GCD of 760, 894, 389, 971?
You can find a detailed procedure to find GCD of 760, 894, 389, 971 on our page.
3. How to find GCD of 760, 894, 389, 971 on a calculator?
You can find the GCD of 760, 894, 389, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.