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 234, 760, 487, 968 i.e. 1 largest integer that divides all the numbers equally.
GCD of 234, 760, 487, 968 is 1
GCD(234, 760, 487, 968) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 234, 760, 487, 968 is 1
GCD(234, 760, 487, 968) = 1
Given Input numbers are 234, 760, 487, 968
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
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 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Greatest Common Divisior
We found the divisors of 234, 760, 487, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 760, 487, 968 is 1.
Therefore, GCD of numbers 234, 760, 487, 968 is 1
Given Input Data is 234, 760, 487, 968
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 487 is 487
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
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(234, 760) = 88920
GCD(234, 760) = ( 234 x 760 ) / 88920
GCD(234, 760) = 177840 / 88920
GCD(234, 760) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 487
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 487) = 974
GCD(2, 487) = ( 2 x 487 ) / 974
GCD(2, 487) = 974 / 974
GCD(2, 487) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 968
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 968) = 968
GCD(1, 968) = ( 1 x 968 ) / 968
GCD(1, 968) = 968 / 968
GCD(1, 968) = 1
GCD of 234, 760, 487, 968 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 234, 760, 487, 968?
GCD of 234, 760, 487, 968 is 1
2. Where do I get the detailed procedure to find GCD of 234, 760, 487, 968?
You can find a detailed procedure to find GCD of 234, 760, 487, 968 on our page.
3. How to find GCD of 234, 760, 487, 968 on a calculator?
You can find the GCD of 234, 760, 487, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.