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 35, 531, 450, 423 i.e. 1 largest integer that divides all the numbers equally.
GCD of 35, 531, 450, 423 is 1
GCD(35, 531, 450, 423) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 35, 531, 450, 423 is 1
GCD(35, 531, 450, 423) = 1
Given Input numbers are 35, 531, 450, 423
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Greatest Common Divisior
We found the divisors of 35, 531, 450, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 531, 450, 423 is 1.
Therefore, GCD of numbers 35, 531, 450, 423 is 1
Given Input Data is 35, 531, 450, 423
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 35 is 5 x 7
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 423 is 3 x 3 x 47
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(35, 531) = 18585
GCD(35, 531) = ( 35 x 531 ) / 18585
GCD(35, 531) = 18585 / 18585
GCD(35, 531) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 450
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 450) = 450
GCD(1, 450) = ( 1 x 450 ) / 450
GCD(1, 450) = 450 / 450
GCD(1, 450) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 423
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 423) = 423
GCD(1, 423) = ( 1 x 423 ) / 423
GCD(1, 423) = 423 / 423
GCD(1, 423) = 1
GCD of 35, 531, 450, 423 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 35, 531, 450, 423?
GCD of 35, 531, 450, 423 is 1
2. Where do I get the detailed procedure to find GCD of 35, 531, 450, 423?
You can find a detailed procedure to find GCD of 35, 531, 450, 423 on our page.
3. How to find GCD of 35, 531, 450, 423 on a calculator?
You can find the GCD of 35, 531, 450, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.