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 994, 504, 49, 576 i.e. 1 largest integer that divides all the numbers equally.
GCD of 994, 504, 49, 576 is 1
GCD(994, 504, 49, 576) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 994, 504, 49, 576 is 1
GCD(994, 504, 49, 576) = 1
Given Input numbers are 994, 504, 49, 576
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
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
Greatest Common Divisior
We found the divisors of 994, 504, 49, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 504, 49, 576 is 1.
Therefore, GCD of numbers 994, 504, 49, 576 is 1
Given Input Data is 994, 504, 49, 576
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 994 is 2 x 7 x 71
Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7
Prime Factorization of 49 is 7 x 7
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
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(994, 504) = 35784
GCD(994, 504) = ( 994 x 504 ) / 35784
GCD(994, 504) = 500976 / 35784
GCD(994, 504) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 49) = 98
GCD(14, 49) = ( 14 x 49 ) / 98
GCD(14, 49) = 686 / 98
GCD(14, 49) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 576
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 576) = 4032
GCD(7, 576) = ( 7 x 576 ) / 4032
GCD(7, 576) = 4032 / 4032
GCD(7, 576) = 1
GCD of 994, 504, 49, 576 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 994, 504, 49, 576?
GCD of 994, 504, 49, 576 is 1
2. Where do I get the detailed procedure to find GCD of 994, 504, 49, 576?
You can find a detailed procedure to find GCD of 994, 504, 49, 576 on our page.
3. How to find GCD of 994, 504, 49, 576 on a calculator?
You can find the GCD of 994, 504, 49, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.