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 582, 397, 675, 938 i.e. 1 largest integer that divides all the numbers equally.
GCD of 582, 397, 675, 938 is 1
GCD(582, 397, 675, 938) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 582, 397, 675, 938 is 1
GCD(582, 397, 675, 938) = 1
Given Input numbers are 582, 397, 675, 938
To find the GCD of numbers using factoring list out all the divisors of each number
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 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Greatest Common Divisior
We found the divisors of 582, 397, 675, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 397, 675, 938 is 1.
Therefore, GCD of numbers 582, 397, 675, 938 is 1
Given Input Data is 582, 397, 675, 938
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 582 is 2 x 3 x 97
Prime Factorization of 397 is 397
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 938 is 2 x 7 x 67
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(582, 397) = 231054
GCD(582, 397) = ( 582 x 397 ) / 231054
GCD(582, 397) = 231054 / 231054
GCD(582, 397) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
GCD(1, 675) = 675 / 675
GCD(1, 675) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 938
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 938) = 938
GCD(1, 938) = ( 1 x 938 ) / 938
GCD(1, 938) = 938 / 938
GCD(1, 938) = 1
GCD of 582, 397, 675, 938 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 582, 397, 675, 938?
GCD of 582, 397, 675, 938 is 1
2. Where do I get the detailed procedure to find GCD of 582, 397, 675, 938?
You can find a detailed procedure to find GCD of 582, 397, 675, 938 on our page.
3. How to find GCD of 582, 397, 675, 938 on a calculator?
You can find the GCD of 582, 397, 675, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.