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 437, 576, 48, 894 i.e. 1 largest integer that divides all the numbers equally.
GCD of 437, 576, 48, 894 is 1
GCD(437, 576, 48, 894) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 437, 576, 48, 894 is 1
GCD(437, 576, 48, 894) = 1
Given Input numbers are 437, 576, 48, 894
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Greatest Common Divisior
We found the divisors of 437, 576, 48, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 437, 576, 48, 894 is 1.
Therefore, GCD of numbers 437, 576, 48, 894 is 1
Given Input Data is 437, 576, 48, 894
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 437 is 19 x 23
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 894 is 2 x 3 x 149
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(437, 576) = 251712
GCD(437, 576) = ( 437 x 576 ) / 251712
GCD(437, 576) = 251712 / 251712
GCD(437, 576) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 48) = 48
GCD(1, 48) = ( 1 x 48 ) / 48
GCD(1, 48) = 48 / 48
GCD(1, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 894
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 894) = 894
GCD(1, 894) = ( 1 x 894 ) / 894
GCD(1, 894) = 894 / 894
GCD(1, 894) = 1
GCD of 437, 576, 48, 894 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 437, 576, 48, 894?
GCD of 437, 576, 48, 894 is 1
2. Where do I get the detailed procedure to find GCD of 437, 576, 48, 894?
You can find a detailed procedure to find GCD of 437, 576, 48, 894 on our page.
3. How to find GCD of 437, 576, 48, 894 on a calculator?
You can find the GCD of 437, 576, 48, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.