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, 979, 200, 562 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 979, 200, 562 is 1
GCD(225, 979, 200, 562) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 979, 200, 562 is 1
GCD(225, 979, 200, 562) = 1
Given Input numbers are 225, 979, 200, 562
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 979
List of positive integer divisors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Greatest Common Divisior
We found the divisors of 225, 979, 200, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 979, 200, 562 is 1.
Therefore, GCD of numbers 225, 979, 200, 562 is 1
Given Input Data is 225, 979, 200, 562
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 979 is 11 x 89
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 562 is 2 x 281
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, 979) = 220275
GCD(225, 979) = ( 225 x 979 ) / 220275
GCD(225, 979) = 220275 / 220275
GCD(225, 979) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 200
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
GCD(1, 200) = 200 / 200
GCD(1, 200) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 562
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 562) = 562
GCD(1, 562) = ( 1 x 562 ) / 562
GCD(1, 562) = 562 / 562
GCD(1, 562) = 1
GCD of 225, 979, 200, 562 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 225, 979, 200, 562?
GCD of 225, 979, 200, 562 is 1
2. Where do I get the detailed procedure to find GCD of 225, 979, 200, 562?
You can find a detailed procedure to find GCD of 225, 979, 200, 562 on our page.
3. How to find GCD of 225, 979, 200, 562 on a calculator?
You can find the GCD of 225, 979, 200, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.