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 794, 756, 96, 735 i.e. 1 largest integer that divides all the numbers equally.
GCD of 794, 756, 96, 735 is 1
GCD(794, 756, 96, 735) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 794, 756, 96, 735 is 1
GCD(794, 756, 96, 735) = 1
Given Input numbers are 794, 756, 96, 735
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
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 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Greatest Common Divisior
We found the divisors of 794, 756, 96, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 756, 96, 735 is 1.
Therefore, GCD of numbers 794, 756, 96, 735 is 1
Given Input Data is 794, 756, 96, 735
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 794 is 2 x 397
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 735 is 3 x 5 x 7 x 7
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(794, 756) = 300132
GCD(794, 756) = ( 794 x 756 ) / 300132
GCD(794, 756) = 600264 / 300132
GCD(794, 756) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 96) = 96
GCD(2, 96) = ( 2 x 96 ) / 96
GCD(2, 96) = 192 / 96
GCD(2, 96) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 735
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 735) = 1470
GCD(2, 735) = ( 2 x 735 ) / 1470
GCD(2, 735) = 1470 / 1470
GCD(2, 735) = 1
GCD of 794, 756, 96, 735 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 794, 756, 96, 735?
GCD of 794, 756, 96, 735 is 1
2. Where do I get the detailed procedure to find GCD of 794, 756, 96, 735?
You can find a detailed procedure to find GCD of 794, 756, 96, 735 on our page.
3. How to find GCD of 794, 756, 96, 735 on a calculator?
You can find the GCD of 794, 756, 96, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.