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 521, 944, 12, 784 i.e. 1 largest integer that divides all the numbers equally.
GCD of 521, 944, 12, 784 is 1
GCD(521, 944, 12, 784) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 521, 944, 12, 784 is 1
GCD(521, 944, 12, 784) = 1
Given Input numbers are 521, 944, 12, 784
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Divisors of 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Greatest Common Divisior
We found the divisors of 521, 944, 12, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 521, 944, 12, 784 is 1.
Therefore, GCD of numbers 521, 944, 12, 784 is 1
Given Input Data is 521, 944, 12, 784
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 521 is 521
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
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(521, 944) = 491824
GCD(521, 944) = ( 521 x 944 ) / 491824
GCD(521, 944) = 491824 / 491824
GCD(521, 944) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 784
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 784) = 784
GCD(1, 784) = ( 1 x 784 ) / 784
GCD(1, 784) = 784 / 784
GCD(1, 784) = 1
GCD of 521, 944, 12, 784 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 521, 944, 12, 784?
GCD of 521, 944, 12, 784 is 1
2. Where do I get the detailed procedure to find GCD of 521, 944, 12, 784?
You can find a detailed procedure to find GCD of 521, 944, 12, 784 on our page.
3. How to find GCD of 521, 944, 12, 784 on a calculator?
You can find the GCD of 521, 944, 12, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.