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, 730, 273, 768 i.e. 1 largest integer that divides all the numbers equally.
GCD of 936, 730, 273, 768 is 1
GCD(936, 730, 273, 768) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 936, 730, 273, 768 is 1
GCD(936, 730, 273, 768) = 1
Given Input numbers are 936, 730, 273, 768
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 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Greatest Common Divisior
We found the divisors of 936, 730, 273, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 730, 273, 768 is 1.
Therefore, GCD of numbers 936, 730, 273, 768 is 1
Given Input Data is 936, 730, 273, 768
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 730 is 2 x 5 x 73
Prime Factorization of 273 is 3 x 7 x 13
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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, 730) = 341640
GCD(936, 730) = ( 936 x 730 ) / 341640
GCD(936, 730) = 683280 / 341640
GCD(936, 730) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 273
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 273) = 546
GCD(2, 273) = ( 2 x 273 ) / 546
GCD(2, 273) = 546 / 546
GCD(2, 273) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 768
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 768) = 768
GCD(1, 768) = ( 1 x 768 ) / 768
GCD(1, 768) = 768 / 768
GCD(1, 768) = 1
GCD of 936, 730, 273, 768 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 936, 730, 273, 768?
GCD of 936, 730, 273, 768 is 1
2. Where do I get the detailed procedure to find GCD of 936, 730, 273, 768?
You can find a detailed procedure to find GCD of 936, 730, 273, 768 on our page.
3. How to find GCD of 936, 730, 273, 768 on a calculator?
You can find the GCD of 936, 730, 273, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.