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 442, 563, 582, 945 i.e. 1 largest integer that divides all the numbers equally.
GCD of 442, 563, 582, 945 is 1
GCD(442, 563, 582, 945) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 442, 563, 582, 945 is 1
GCD(442, 563, 582, 945) = 1
Given Input numbers are 442, 563, 582, 945
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 563
List of positive integer divisors of 563 that divides 563 without a remainder.
1, 563
Divisors of 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Greatest Common Divisior
We found the divisors of 442, 563, 582, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 563, 582, 945 is 1.
Therefore, GCD of numbers 442, 563, 582, 945 is 1
Given Input Data is 442, 563, 582, 945
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 563 is 563
Prime Factorization of 582 is 2 x 3 x 97
Prime Factorization of 945 is 3 x 3 x 3 x 5 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(442, 563) = 248846
GCD(442, 563) = ( 442 x 563 ) / 248846
GCD(442, 563) = 248846 / 248846
GCD(442, 563) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 582
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 582) = 582
GCD(1, 582) = ( 1 x 582 ) / 582
GCD(1, 582) = 582 / 582
GCD(1, 582) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 945
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 945) = 945
GCD(1, 945) = ( 1 x 945 ) / 945
GCD(1, 945) = 945 / 945
GCD(1, 945) = 1
GCD of 442, 563, 582, 945 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 442, 563, 582, 945?
GCD of 442, 563, 582, 945 is 1
2. Where do I get the detailed procedure to find GCD of 442, 563, 582, 945?
You can find a detailed procedure to find GCD of 442, 563, 582, 945 on our page.
3. How to find GCD of 442, 563, 582, 945 on a calculator?
You can find the GCD of 442, 563, 582, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.