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 67, 508, 865, 923 i.e. 1 largest integer that divides all the numbers equally.
GCD of 67, 508, 865, 923 is 1
GCD(67, 508, 865, 923) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 67, 508, 865, 923 is 1
GCD(67, 508, 865, 923) = 1
Given Input numbers are 67, 508, 865, 923
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Greatest Common Divisior
We found the divisors of 67, 508, 865, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 508, 865, 923 is 1.
Therefore, GCD of numbers 67, 508, 865, 923 is 1
Given Input Data is 67, 508, 865, 923
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 67 is 67
Prime Factorization of 508 is 2 x 2 x 127
Prime Factorization of 865 is 5 x 173
Prime Factorization of 923 is 13 x 71
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(67, 508) = 34036
GCD(67, 508) = ( 67 x 508 ) / 34036
GCD(67, 508) = 34036 / 34036
GCD(67, 508) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 865) = 865
GCD(1, 865) = ( 1 x 865 ) / 865
GCD(1, 865) = 865 / 865
GCD(1, 865) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 923
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 923) = 923
GCD(1, 923) = ( 1 x 923 ) / 923
GCD(1, 923) = 923 / 923
GCD(1, 923) = 1
GCD of 67, 508, 865, 923 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 67, 508, 865, 923?
GCD of 67, 508, 865, 923 is 1
2. Where do I get the detailed procedure to find GCD of 67, 508, 865, 923?
You can find a detailed procedure to find GCD of 67, 508, 865, 923 on our page.
3. How to find GCD of 67, 508, 865, 923 on a calculator?
You can find the GCD of 67, 508, 865, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.