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, 829, 535, 642 i.e. 1 largest integer that divides all the numbers equally.
GCD of 582, 829, 535, 642 is 1
GCD(582, 829, 535, 642) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 582, 829, 535, 642 is 1
GCD(582, 829, 535, 642) = 1
Given Input numbers are 582, 829, 535, 642
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 829
List of positive integer divisors of 829 that divides 829 without a remainder.
1, 829
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Greatest Common Divisior
We found the divisors of 582, 829, 535, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 829, 535, 642 is 1.
Therefore, GCD of numbers 582, 829, 535, 642 is 1
Given Input Data is 582, 829, 535, 642
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 829 is 829
Prime Factorization of 535 is 5 x 107
Prime Factorization of 642 is 2 x 3 x 107
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, 829) = 482478
GCD(582, 829) = ( 582 x 829 ) / 482478
GCD(582, 829) = 482478 / 482478
GCD(582, 829) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 535
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 535) = 535
GCD(1, 535) = ( 1 x 535 ) / 535
GCD(1, 535) = 535 / 535
GCD(1, 535) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 642
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 642) = 642
GCD(1, 642) = ( 1 x 642 ) / 642
GCD(1, 642) = 642 / 642
GCD(1, 642) = 1
GCD of 582, 829, 535, 642 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 582, 829, 535, 642?
GCD of 582, 829, 535, 642 is 1
2. Where do I get the detailed procedure to find GCD of 582, 829, 535, 642?
You can find a detailed procedure to find GCD of 582, 829, 535, 642 on our page.
3. How to find GCD of 582, 829, 535, 642 on a calculator?
You can find the GCD of 582, 829, 535, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.