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 574, 771, 71, 225 i.e. 1 largest integer that divides all the numbers equally.
GCD of 574, 771, 71, 225 is 1
GCD(574, 771, 71, 225) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 574, 771, 71, 225 is 1
GCD(574, 771, 71, 225) = 1
Given Input numbers are 574, 771, 71, 225
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Greatest Common Divisior
We found the divisors of 574, 771, 71, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 771, 71, 225 is 1.
Therefore, GCD of numbers 574, 771, 71, 225 is 1
Given Input Data is 574, 771, 71, 225
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 771 is 3 x 257
Prime Factorization of 71 is 71
Prime Factorization of 225 is 3 x 3 x 5 x 5
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(574, 771) = 442554
GCD(574, 771) = ( 574 x 771 ) / 442554
GCD(574, 771) = 442554 / 442554
GCD(574, 771) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 225
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
GCD(1, 225) = 225 / 225
GCD(1, 225) = 1
GCD of 574, 771, 71, 225 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 574, 771, 71, 225?
GCD of 574, 771, 71, 225 is 1
2. Where do I get the detailed procedure to find GCD of 574, 771, 71, 225?
You can find a detailed procedure to find GCD of 574, 771, 71, 225 on our page.
3. How to find GCD of 574, 771, 71, 225 on a calculator?
You can find the GCD of 574, 771, 71, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.