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 759, 179, 615, 966 i.e. 1 largest integer that divides all the numbers equally.
GCD of 759, 179, 615, 966 is 1
GCD(759, 179, 615, 966) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 759, 179, 615, 966 is 1
GCD(759, 179, 615, 966) = 1
Given Input numbers are 759, 179, 615, 966
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Divisors of 615
List of positive integer divisors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Greatest Common Divisior
We found the divisors of 759, 179, 615, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 179, 615, 966 is 1.
Therefore, GCD of numbers 759, 179, 615, 966 is 1
Given Input Data is 759, 179, 615, 966
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 179 is 179
Prime Factorization of 615 is 3 x 5 x 41
Prime Factorization of 966 is 2 x 3 x 7 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(759, 179) = 135861
GCD(759, 179) = ( 759 x 179 ) / 135861
GCD(759, 179) = 135861 / 135861
GCD(759, 179) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 615
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 615) = 615
GCD(1, 615) = ( 1 x 615 ) / 615
GCD(1, 615) = 615 / 615
GCD(1, 615) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 966
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 966) = 966
GCD(1, 966) = ( 1 x 966 ) / 966
GCD(1, 966) = 966 / 966
GCD(1, 966) = 1
GCD of 759, 179, 615, 966 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 759, 179, 615, 966?
GCD of 759, 179, 615, 966 is 1
2. Where do I get the detailed procedure to find GCD of 759, 179, 615, 966?
You can find a detailed procedure to find GCD of 759, 179, 615, 966 on our page.
3. How to find GCD of 759, 179, 615, 966 on a calculator?
You can find the GCD of 759, 179, 615, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.