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 936, 923, 667, 130 i.e. 1 largest integer that divides all the numbers equally.
GCD of 936, 923, 667, 130 is 1
GCD(936, 923, 667, 130) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 936, 923, 667, 130 is 1
GCD(936, 923, 667, 130) = 1
Given Input numbers are 936, 923, 667, 130
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Greatest Common Divisior
We found the divisors of 936, 923, 667, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 923, 667, 130 is 1.
Therefore, GCD of numbers 936, 923, 667, 130 is 1
Given Input Data is 936, 923, 667, 130
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 923 is 13 x 71
Prime Factorization of 667 is 23 x 29
Prime Factorization of 130 is 2 x 5 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(936, 923) = 66456
GCD(936, 923) = ( 936 x 923 ) / 66456
GCD(936, 923) = 863928 / 66456
GCD(936, 923) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 667
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 667) = 8671
GCD(13, 667) = ( 13 x 667 ) / 8671
GCD(13, 667) = 8671 / 8671
GCD(13, 667) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 130
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 130) = 130
GCD(1, 130) = ( 1 x 130 ) / 130
GCD(1, 130) = 130 / 130
GCD(1, 130) = 1
GCD of 936, 923, 667, 130 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 936, 923, 667, 130?
GCD of 936, 923, 667, 130 is 1
2. Where do I get the detailed procedure to find GCD of 936, 923, 667, 130?
You can find a detailed procedure to find GCD of 936, 923, 667, 130 on our page.
3. How to find GCD of 936, 923, 667, 130 on a calculator?
You can find the GCD of 936, 923, 667, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.