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 920, 276, 65, 936 i.e. 1 largest integer that divides all the numbers equally.
GCD of 920, 276, 65, 936 is 1
GCD(920, 276, 65, 936) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 920, 276, 65, 936 is 1
GCD(920, 276, 65, 936) = 1
Given Input numbers are 920, 276, 65, 936
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
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
Greatest Common Divisior
We found the divisors of 920, 276, 65, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 276, 65, 936 is 1.
Therefore, GCD of numbers 920, 276, 65, 936 is 1
Given Input Data is 920, 276, 65, 936
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 65 is 5 x 13
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 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(920, 276) = 2760
GCD(920, 276) = ( 920 x 276 ) / 2760
GCD(920, 276) = 253920 / 2760
GCD(920, 276) = 92
Step2:
Here we consider the GCD from the above i.e. 92 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(92, 65) = 5980
GCD(92, 65) = ( 92 x 65 ) / 5980
GCD(92, 65) = 5980 / 5980
GCD(92, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 936
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 936) = 936
GCD(1, 936) = ( 1 x 936 ) / 936
GCD(1, 936) = 936 / 936
GCD(1, 936) = 1
GCD of 920, 276, 65, 936 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 920, 276, 65, 936?
GCD of 920, 276, 65, 936 is 1
2. Where do I get the detailed procedure to find GCD of 920, 276, 65, 936?
You can find a detailed procedure to find GCD of 920, 276, 65, 936 on our page.
3. How to find GCD of 920, 276, 65, 936 on a calculator?
You can find the GCD of 920, 276, 65, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.