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 844, 116, 46, 669 i.e. 1 largest integer that divides all the numbers equally.
GCD of 844, 116, 46, 669 is 1
GCD(844, 116, 46, 669) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 844, 116, 46, 669 is 1
GCD(844, 116, 46, 669) = 1
Given Input numbers are 844, 116, 46, 669
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Greatest Common Divisior
We found the divisors of 844, 116, 46, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 844, 116, 46, 669 is 1.
Therefore, GCD of numbers 844, 116, 46, 669 is 1
Given Input Data is 844, 116, 46, 669
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 844 is 2 x 2 x 211
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 46 is 2 x 23
Prime Factorization of 669 is 3 x 223
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(844, 116) = 24476
GCD(844, 116) = ( 844 x 116 ) / 24476
GCD(844, 116) = 97904 / 24476
GCD(844, 116) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 46) = 92
GCD(4, 46) = ( 4 x 46 ) / 92
GCD(4, 46) = 184 / 92
GCD(4, 46) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 669
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 669) = 1338
GCD(2, 669) = ( 2 x 669 ) / 1338
GCD(2, 669) = 1338 / 1338
GCD(2, 669) = 1
GCD of 844, 116, 46, 669 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 844, 116, 46, 669?
GCD of 844, 116, 46, 669 is 1
2. Where do I get the detailed procedure to find GCD of 844, 116, 46, 669?
You can find a detailed procedure to find GCD of 844, 116, 46, 669 on our page.
3. How to find GCD of 844, 116, 46, 669 on a calculator?
You can find the GCD of 844, 116, 46, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.