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 572, 514, 578, 489 i.e. 1 largest integer that divides all the numbers equally.
GCD of 572, 514, 578, 489 is 1
GCD(572, 514, 578, 489) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 572, 514, 578, 489 is 1
GCD(572, 514, 578, 489) = 1
Given Input numbers are 572, 514, 578, 489
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Divisors of 578
List of positive integer divisors of 578 that divides 578 without a remainder.
1, 2, 17, 34, 289, 578
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Greatest Common Divisior
We found the divisors of 572, 514, 578, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 514, 578, 489 is 1.
Therefore, GCD of numbers 572, 514, 578, 489 is 1
Given Input Data is 572, 514, 578, 489
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 514 is 2 x 257
Prime Factorization of 578 is 2 x 17 x 17
Prime Factorization of 489 is 3 x 163
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(572, 514) = 147004
GCD(572, 514) = ( 572 x 514 ) / 147004
GCD(572, 514) = 294008 / 147004
GCD(572, 514) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 578
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 578) = 578
GCD(2, 578) = ( 2 x 578 ) / 578
GCD(2, 578) = 1156 / 578
GCD(2, 578) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 489
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 489) = 978
GCD(2, 489) = ( 2 x 489 ) / 978
GCD(2, 489) = 978 / 978
GCD(2, 489) = 1
GCD of 572, 514, 578, 489 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 572, 514, 578, 489?
GCD of 572, 514, 578, 489 is 1
2. Where do I get the detailed procedure to find GCD of 572, 514, 578, 489?
You can find a detailed procedure to find GCD of 572, 514, 578, 489 on our page.
3. How to find GCD of 572, 514, 578, 489 on a calculator?
You can find the GCD of 572, 514, 578, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.