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 225, 710, 533, 859 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 710, 533, 859 is 1
GCD(225, 710, 533, 859) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 710, 533, 859 is 1
GCD(225, 710, 533, 859) = 1
Given Input numbers are 225, 710, 533, 859
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Divisors of 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Greatest Common Divisior
We found the divisors of 225, 710, 533, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 710, 533, 859 is 1.
Therefore, GCD of numbers 225, 710, 533, 859 is 1
Given Input Data is 225, 710, 533, 859
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 533 is 13 x 41
Prime Factorization of 859 is 859
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(225, 710) = 31950
GCD(225, 710) = ( 225 x 710 ) / 31950
GCD(225, 710) = 159750 / 31950
GCD(225, 710) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 533
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 533) = 2665
GCD(5, 533) = ( 5 x 533 ) / 2665
GCD(5, 533) = 2665 / 2665
GCD(5, 533) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 859
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 859) = 859
GCD(1, 859) = ( 1 x 859 ) / 859
GCD(1, 859) = 859 / 859
GCD(1, 859) = 1
GCD of 225, 710, 533, 859 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 225, 710, 533, 859?
GCD of 225, 710, 533, 859 is 1
2. Where do I get the detailed procedure to find GCD of 225, 710, 533, 859?
You can find a detailed procedure to find GCD of 225, 710, 533, 859 on our page.
3. How to find GCD of 225, 710, 533, 859 on a calculator?
You can find the GCD of 225, 710, 533, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.