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 711, 254, 489, 575 i.e. 1 largest integer that divides all the numbers equally.
GCD of 711, 254, 489, 575 is 1
GCD(711, 254, 489, 575) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 711, 254, 489, 575 is 1
GCD(711, 254, 489, 575) = 1
Given Input numbers are 711, 254, 489, 575
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Greatest Common Divisior
We found the divisors of 711, 254, 489, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 711, 254, 489, 575 is 1.
Therefore, GCD of numbers 711, 254, 489, 575 is 1
Given Input Data is 711, 254, 489, 575
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 711 is 3 x 3 x 79
Prime Factorization of 254 is 2 x 127
Prime Factorization of 489 is 3 x 163
Prime Factorization of 575 is 5 x 5 x 23
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(711, 254) = 180594
GCD(711, 254) = ( 711 x 254 ) / 180594
GCD(711, 254) = 180594 / 180594
GCD(711, 254) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 489
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 489) = 489
GCD(1, 489) = ( 1 x 489 ) / 489
GCD(1, 489) = 489 / 489
GCD(1, 489) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 575
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 575) = 575
GCD(1, 575) = ( 1 x 575 ) / 575
GCD(1, 575) = 575 / 575
GCD(1, 575) = 1
GCD of 711, 254, 489, 575 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 711, 254, 489, 575?
GCD of 711, 254, 489, 575 is 1
2. Where do I get the detailed procedure to find GCD of 711, 254, 489, 575?
You can find a detailed procedure to find GCD of 711, 254, 489, 575 on our page.
3. How to find GCD of 711, 254, 489, 575 on a calculator?
You can find the GCD of 711, 254, 489, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.