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, 767, 205, 947 i.e. 1 largest integer that divides all the numbers equally.
GCD of 936, 767, 205, 947 is 1
GCD(936, 767, 205, 947) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 936, 767, 205, 947 is 1
GCD(936, 767, 205, 947) = 1
Given Input numbers are 936, 767, 205, 947
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 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
Divisors of 947
List of positive integer divisors of 947 that divides 947 without a remainder.
1, 947
Greatest Common Divisior
We found the divisors of 936, 767, 205, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 767, 205, 947 is 1.
Therefore, GCD of numbers 936, 767, 205, 947 is 1
Given Input Data is 936, 767, 205, 947
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 767 is 13 x 59
Prime Factorization of 205 is 5 x 41
Prime Factorization of 947 is 947
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, 767) = 55224
GCD(936, 767) = ( 936 x 767 ) / 55224
GCD(936, 767) = 717912 / 55224
GCD(936, 767) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 205
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 205) = 2665
GCD(13, 205) = ( 13 x 205 ) / 2665
GCD(13, 205) = 2665 / 2665
GCD(13, 205) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 947
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 947) = 947
GCD(1, 947) = ( 1 x 947 ) / 947
GCD(1, 947) = 947 / 947
GCD(1, 947) = 1
GCD of 936, 767, 205, 947 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 936, 767, 205, 947?
GCD of 936, 767, 205, 947 is 1
2. Where do I get the detailed procedure to find GCD of 936, 767, 205, 947?
You can find a detailed procedure to find GCD of 936, 767, 205, 947 on our page.
3. How to find GCD of 936, 767, 205, 947 on a calculator?
You can find the GCD of 936, 767, 205, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.