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, 909, 797, 460 i.e. 1 largest integer that divides all the numbers equally.
GCD of 756, 909, 797, 460 is 1
GCD(756, 909, 797, 460) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 756, 909, 797, 460 is 1
GCD(756, 909, 797, 460) = 1
Given Input numbers are 756, 909, 797, 460
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 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Greatest Common Divisior
We found the divisors of 756, 909, 797, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 909, 797, 460 is 1.
Therefore, GCD of numbers 756, 909, 797, 460 is 1
Given Input Data is 756, 909, 797, 460
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 909 is 3 x 3 x 101
Prime Factorization of 797 is 797
Prime Factorization of 460 is 2 x 2 x 5 x 23
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, 909) = 76356
GCD(756, 909) = ( 756 x 909 ) / 76356
GCD(756, 909) = 687204 / 76356
GCD(756, 909) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 797
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 797) = 7173
GCD(9, 797) = ( 9 x 797 ) / 7173
GCD(9, 797) = 7173 / 7173
GCD(9, 797) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
GCD(1, 460) = 460 / 460
GCD(1, 460) = 1
GCD of 756, 909, 797, 460 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 756, 909, 797, 460?
GCD of 756, 909, 797, 460 is 1
2. Where do I get the detailed procedure to find GCD of 756, 909, 797, 460?
You can find a detailed procedure to find GCD of 756, 909, 797, 460 on our page.
3. How to find GCD of 756, 909, 797, 460 on a calculator?
You can find the GCD of 756, 909, 797, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.