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 966, 599, 560, 438 i.e. 1 largest integer that divides all the numbers equally.
GCD of 966, 599, 560, 438 is 1
GCD(966, 599, 560, 438) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 966, 599, 560, 438 is 1
GCD(966, 599, 560, 438) = 1
Given Input numbers are 966, 599, 560, 438
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 599
List of positive integer divisors of 599 that divides 599 without a remainder.
1, 599
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Greatest Common Divisior
We found the divisors of 966, 599, 560, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 599, 560, 438 is 1.
Therefore, GCD of numbers 966, 599, 560, 438 is 1
Given Input Data is 966, 599, 560, 438
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 599 is 599
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 438 is 2 x 3 x 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(966, 599) = 578634
GCD(966, 599) = ( 966 x 599 ) / 578634
GCD(966, 599) = 578634 / 578634
GCD(966, 599) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 560
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 560) = 560
GCD(1, 560) = ( 1 x 560 ) / 560
GCD(1, 560) = 560 / 560
GCD(1, 560) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 438
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 438) = 438
GCD(1, 438) = ( 1 x 438 ) / 438
GCD(1, 438) = 438 / 438
GCD(1, 438) = 1
GCD of 966, 599, 560, 438 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 966, 599, 560, 438?
GCD of 966, 599, 560, 438 is 1
2. Where do I get the detailed procedure to find GCD of 966, 599, 560, 438?
You can find a detailed procedure to find GCD of 966, 599, 560, 438 on our page.
3. How to find GCD of 966, 599, 560, 438 on a calculator?
You can find the GCD of 966, 599, 560, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.