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, 445, 220, 133 i.e. 1 largest integer that divides all the numbers equally.
GCD of 966, 445, 220, 133 is 1
GCD(966, 445, 220, 133) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 966, 445, 220, 133 is 1
GCD(966, 445, 220, 133) = 1
Given Input numbers are 966, 445, 220, 133
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 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Greatest Common Divisior
We found the divisors of 966, 445, 220, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 445, 220, 133 is 1.
Therefore, GCD of numbers 966, 445, 220, 133 is 1
Given Input Data is 966, 445, 220, 133
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 445 is 5 x 89
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 133 is 7 x 19
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, 445) = 429870
GCD(966, 445) = ( 966 x 445 ) / 429870
GCD(966, 445) = 429870 / 429870
GCD(966, 445) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
GCD(1, 220) = 220 / 220
GCD(1, 220) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
GCD(1, 133) = 133 / 133
GCD(1, 133) = 1
GCD of 966, 445, 220, 133 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 966, 445, 220, 133?
GCD of 966, 445, 220, 133 is 1
2. Where do I get the detailed procedure to find GCD of 966, 445, 220, 133?
You can find a detailed procedure to find GCD of 966, 445, 220, 133 on our page.
3. How to find GCD of 966, 445, 220, 133 on a calculator?
You can find the GCD of 966, 445, 220, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.