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, 997, 432, 702 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 997, 432, 702 is 1
GCD(225, 997, 432, 702) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 997, 432, 702 is 1
GCD(225, 997, 432, 702) = 1
Given Input numbers are 225, 997, 432, 702
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 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Greatest Common Divisior
We found the divisors of 225, 997, 432, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 997, 432, 702 is 1.
Therefore, GCD of numbers 225, 997, 432, 702 is 1
Given Input Data is 225, 997, 432, 702
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 997 is 997
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
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, 997) = 224325
GCD(225, 997) = ( 225 x 997 ) / 224325
GCD(225, 997) = 224325 / 224325
GCD(225, 997) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
GCD(1, 432) = 432 / 432
GCD(1, 432) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
GCD(1, 702) = 702 / 702
GCD(1, 702) = 1
GCD of 225, 997, 432, 702 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 225, 997, 432, 702?
GCD of 225, 997, 432, 702 is 1
2. Where do I get the detailed procedure to find GCD of 225, 997, 432, 702?
You can find a detailed procedure to find GCD of 225, 997, 432, 702 on our page.
3. How to find GCD of 225, 997, 432, 702 on a calculator?
You can find the GCD of 225, 997, 432, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.