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, 862, 591, 804 i.e. 1 largest integer that divides all the numbers equally.
GCD of 966, 862, 591, 804 is 1
GCD(966, 862, 591, 804) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 966, 862, 591, 804 is 1
GCD(966, 862, 591, 804) = 1
Given Input numbers are 966, 862, 591, 804
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 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Greatest Common Divisior
We found the divisors of 966, 862, 591, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 862, 591, 804 is 1.
Therefore, GCD of numbers 966, 862, 591, 804 is 1
Given Input Data is 966, 862, 591, 804
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 862 is 2 x 431
Prime Factorization of 591 is 3 x 197
Prime Factorization of 804 is 2 x 2 x 3 x 67
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, 862) = 416346
GCD(966, 862) = ( 966 x 862 ) / 416346
GCD(966, 862) = 832692 / 416346
GCD(966, 862) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 591
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 591) = 1182
GCD(2, 591) = ( 2 x 591 ) / 1182
GCD(2, 591) = 1182 / 1182
GCD(2, 591) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 804
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 804) = 804
GCD(1, 804) = ( 1 x 804 ) / 804
GCD(1, 804) = 804 / 804
GCD(1, 804) = 1
GCD of 966, 862, 591, 804 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 966, 862, 591, 804?
GCD of 966, 862, 591, 804 is 1
2. Where do I get the detailed procedure to find GCD of 966, 862, 591, 804?
You can find a detailed procedure to find GCD of 966, 862, 591, 804 on our page.
3. How to find GCD of 966, 862, 591, 804 on a calculator?
You can find the GCD of 966, 862, 591, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.