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 894, 376, 43, 344 i.e. 1 largest integer that divides all the numbers equally.
GCD of 894, 376, 43, 344 is 1
GCD(894, 376, 43, 344) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 894, 376, 43, 344 is 1
GCD(894, 376, 43, 344) = 1
Given Input numbers are 894, 376, 43, 344
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Greatest Common Divisior
We found the divisors of 894, 376, 43, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 376, 43, 344 is 1.
Therefore, GCD of numbers 894, 376, 43, 344 is 1
Given Input Data is 894, 376, 43, 344
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 43 is 43
Prime Factorization of 344 is 2 x 2 x 2 x 43
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(894, 376) = 168072
GCD(894, 376) = ( 894 x 376 ) / 168072
GCD(894, 376) = 336144 / 168072
GCD(894, 376) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 43) = 86
GCD(2, 43) = ( 2 x 43 ) / 86
GCD(2, 43) = 86 / 86
GCD(2, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 344
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 344) = 344
GCD(1, 344) = ( 1 x 344 ) / 344
GCD(1, 344) = 344 / 344
GCD(1, 344) = 1
GCD of 894, 376, 43, 344 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 894, 376, 43, 344?
GCD of 894, 376, 43, 344 is 1
2. Where do I get the detailed procedure to find GCD of 894, 376, 43, 344?
You can find a detailed procedure to find GCD of 894, 376, 43, 344 on our page.
3. How to find GCD of 894, 376, 43, 344 on a calculator?
You can find the GCD of 894, 376, 43, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.