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 756, 928, 73 i.e. 1 largest integer that divides all the numbers equally.
GCD of 756, 928, 73 is 1
GCD(756, 928, 73) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 756, 928, 73 is 1
GCD(756, 928, 73) = 1
Given Input numbers are 756, 928, 73
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Greatest Common Divisior
We found the divisors of 756, 928, 73 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 928, 73 is 1.
Therefore, GCD of numbers 756, 928, 73 is 1
Given Input Data is 756, 928, 73
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 73 is 73
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(756, 928) = 175392
GCD(756, 928) = ( 756 x 928 ) / 175392
GCD(756, 928) = 701568 / 175392
GCD(756, 928) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 73) = 292
GCD(4, 73) = ( 4 x 73 ) / 292
GCD(4, 73) = 292 / 292
GCD(4, 73) = 1
GCD of 756, 928, 73 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 756, 928, 73?
GCD of 756, 928, 73 is 1
2. Where do I get the detailed procedure to find GCD of 756, 928, 73?
You can find a detailed procedure to find GCD of 756, 928, 73 on our page.
3. How to find GCD of 756, 928, 73 on a calculator?
You can find the GCD of 756, 928, 73 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.