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 220, 794, 966, 182 i.e. 2 largest integer that divides all the numbers equally.
GCD of 220, 794, 966, 182 is 2
GCD(220, 794, 966, 182) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 220, 794, 966, 182 is 2
GCD(220, 794, 966, 182) = 2
Given Input numbers are 220, 794, 966, 182
To find the GCD of numbers using factoring list out all the divisors of each number
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 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
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 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Greatest Common Divisior
We found the divisors of 220, 794, 966, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 794, 966, 182 is 2.
Therefore, GCD of numbers 220, 794, 966, 182 is 2
Given Input Data is 220, 794, 966, 182
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 794 is 2 x 397
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 182 is 2 x 7 x 13
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(220, 794) = 87340
GCD(220, 794) = ( 220 x 794 ) / 87340
GCD(220, 794) = 174680 / 87340
GCD(220, 794) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 966
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 966) = 966
GCD(2, 966) = ( 2 x 966 ) / 966
GCD(2, 966) = 1932 / 966
GCD(2, 966) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 182
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 182) = 182
GCD(2, 182) = ( 2 x 182 ) / 182
GCD(2, 182) = 364 / 182
GCD(2, 182) = 2
GCD of 220, 794, 966, 182 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 220, 794, 966, 182?
GCD of 220, 794, 966, 182 is 2
2. Where do I get the detailed procedure to find GCD of 220, 794, 966, 182?
You can find a detailed procedure to find GCD of 220, 794, 966, 182 on our page.
3. How to find GCD of 220, 794, 966, 182 on a calculator?
You can find the GCD of 220, 794, 966, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.