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 423, 297, 535 i.e. 1 largest integer that divides all the numbers equally.
GCD of 423, 297, 535 is 1
GCD(423, 297, 535) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 423, 297, 535 is 1
GCD(423, 297, 535) = 1
Given Input numbers are 423, 297, 535
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Greatest Common Divisior
We found the divisors of 423, 297, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 297, 535 is 1.
Therefore, GCD of numbers 423, 297, 535 is 1
Given Input Data is 423, 297, 535
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 297 is 3 x 3 x 3 x 11
Prime Factorization of 535 is 5 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(423, 297) = 13959
GCD(423, 297) = ( 423 x 297 ) / 13959
GCD(423, 297) = 125631 / 13959
GCD(423, 297) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 535
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 535) = 4815
GCD(9, 535) = ( 9 x 535 ) / 4815
GCD(9, 535) = 4815 / 4815
GCD(9, 535) = 1
GCD of 423, 297, 535 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 423, 297, 535?
GCD of 423, 297, 535 is 1
2. Where do I get the detailed procedure to find GCD of 423, 297, 535?
You can find a detailed procedure to find GCD of 423, 297, 535 on our page.
3. How to find GCD of 423, 297, 535 on a calculator?
You can find the GCD of 423, 297, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.