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 469, 201, 582, 434 i.e. 1 largest integer that divides all the numbers equally.
GCD of 469, 201, 582, 434 is 1
GCD(469, 201, 582, 434) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 469, 201, 582, 434 is 1
GCD(469, 201, 582, 434) = 1
Given Input numbers are 469, 201, 582, 434
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
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 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Greatest Common Divisior
We found the divisors of 469, 201, 582, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 201, 582, 434 is 1.
Therefore, GCD of numbers 469, 201, 582, 434 is 1
Given Input Data is 469, 201, 582, 434
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 469 is 7 x 67
Prime Factorization of 201 is 3 x 67
Prime Factorization of 582 is 2 x 3 x 97
Prime Factorization of 434 is 2 x 7 x 31
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(469, 201) = 1407
GCD(469, 201) = ( 469 x 201 ) / 1407
GCD(469, 201) = 94269 / 1407
GCD(469, 201) = 67
Step2:
Here we consider the GCD from the above i.e. 67 as first number and the next as 582
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(67, 582) = 38994
GCD(67, 582) = ( 67 x 582 ) / 38994
GCD(67, 582) = 38994 / 38994
GCD(67, 582) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
GCD(1, 434) = 434 / 434
GCD(1, 434) = 1
GCD of 469, 201, 582, 434 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 469, 201, 582, 434?
GCD of 469, 201, 582, 434 is 1
2. Where do I get the detailed procedure to find GCD of 469, 201, 582, 434?
You can find a detailed procedure to find GCD of 469, 201, 582, 434 on our page.
3. How to find GCD of 469, 201, 582, 434 on a calculator?
You can find the GCD of 469, 201, 582, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.