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 44, 854, 964, 423 i.e. 1 largest integer that divides all the numbers equally.
GCD of 44, 854, 964, 423 is 1
GCD(44, 854, 964, 423) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 44, 854, 964, 423 is 1
GCD(44, 854, 964, 423) = 1
Given Input numbers are 44, 854, 964, 423
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Greatest Common Divisior
We found the divisors of 44, 854, 964, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 854, 964, 423 is 1.
Therefore, GCD of numbers 44, 854, 964, 423 is 1
Given Input Data is 44, 854, 964, 423
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 423 is 3 x 3 x 47
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(44, 854) = 18788
GCD(44, 854) = ( 44 x 854 ) / 18788
GCD(44, 854) = 37576 / 18788
GCD(44, 854) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 964) = 964
GCD(2, 964) = ( 2 x 964 ) / 964
GCD(2, 964) = 1928 / 964
GCD(2, 964) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 423
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 423) = 846
GCD(2, 423) = ( 2 x 423 ) / 846
GCD(2, 423) = 846 / 846
GCD(2, 423) = 1
GCD of 44, 854, 964, 423 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 44, 854, 964, 423?
GCD of 44, 854, 964, 423 is 1
2. Where do I get the detailed procedure to find GCD of 44, 854, 964, 423?
You can find a detailed procedure to find GCD of 44, 854, 964, 423 on our page.
3. How to find GCD of 44, 854, 964, 423 on a calculator?
You can find the GCD of 44, 854, 964, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.