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, 978, 79, 856 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 978, 79, 856 is 1
GCD(225, 978, 79, 856) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 978, 79, 856 is 1
GCD(225, 978, 79, 856) = 1
Given Input numbers are 225, 978, 79, 856
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 978
List of positive integer divisors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Greatest Common Divisior
We found the divisors of 225, 978, 79, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 978, 79, 856 is 1.
Therefore, GCD of numbers 225, 978, 79, 856 is 1
Given Input Data is 225, 978, 79, 856
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 978 is 2 x 3 x 163
Prime Factorization of 79 is 79
Prime Factorization of 856 is 2 x 2 x 2 x 107
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, 978) = 73350
GCD(225, 978) = ( 225 x 978 ) / 73350
GCD(225, 978) = 220050 / 73350
GCD(225, 978) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 79) = 237
GCD(3, 79) = ( 3 x 79 ) / 237
GCD(3, 79) = 237 / 237
GCD(3, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 856
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 856) = 856
GCD(1, 856) = ( 1 x 856 ) / 856
GCD(1, 856) = 856 / 856
GCD(1, 856) = 1
GCD of 225, 978, 79, 856 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 225, 978, 79, 856?
GCD of 225, 978, 79, 856 is 1
2. Where do I get the detailed procedure to find GCD of 225, 978, 79, 856?
You can find a detailed procedure to find GCD of 225, 978, 79, 856 on our page.
3. How to find GCD of 225, 978, 79, 856 on a calculator?
You can find the GCD of 225, 978, 79, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.