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, 764, 330, 951 i.e. 1 largest integer that divides all the numbers equally.
GCD of 756, 764, 330, 951 is 1
GCD(756, 764, 330, 951) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 756, 764, 330, 951 is 1
GCD(756, 764, 330, 951) = 1
Given Input numbers are 756, 764, 330, 951
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 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 951
List of positive integer divisors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Greatest Common Divisior
We found the divisors of 756, 764, 330, 951 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 764, 330, 951 is 1.
Therefore, GCD of numbers 756, 764, 330, 951 is 1
Given Input Data is 756, 764, 330, 951
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 764 is 2 x 2 x 191
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 951 is 3 x 317
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, 764) = 144396
GCD(756, 764) = ( 756 x 764 ) / 144396
GCD(756, 764) = 577584 / 144396
GCD(756, 764) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 330
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 330) = 660
GCD(4, 330) = ( 4 x 330 ) / 660
GCD(4, 330) = 1320 / 660
GCD(4, 330) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 951
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 951) = 1902
GCD(2, 951) = ( 2 x 951 ) / 1902
GCD(2, 951) = 1902 / 1902
GCD(2, 951) = 1
GCD of 756, 764, 330, 951 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 756, 764, 330, 951?
GCD of 756, 764, 330, 951 is 1
2. Where do I get the detailed procedure to find GCD of 756, 764, 330, 951?
You can find a detailed procedure to find GCD of 756, 764, 330, 951 on our page.
3. How to find GCD of 756, 764, 330, 951 on a calculator?
You can find the GCD of 756, 764, 330, 951 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.