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, 168, 251, 384 i.e. 1 largest integer that divides all the numbers equally.
GCD of 423, 168, 251, 384 is 1
GCD(423, 168, 251, 384) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 423, 168, 251, 384 is 1
GCD(423, 168, 251, 384) = 1
Given Input numbers are 423, 168, 251, 384
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 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Greatest Common Divisior
We found the divisors of 423, 168, 251, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 168, 251, 384 is 1.
Therefore, GCD of numbers 423, 168, 251, 384 is 1
Given Input Data is 423, 168, 251, 384
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 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 251 is 251
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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, 168) = 23688
GCD(423, 168) = ( 423 x 168 ) / 23688
GCD(423, 168) = 71064 / 23688
GCD(423, 168) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 251
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 251) = 753
GCD(3, 251) = ( 3 x 251 ) / 753
GCD(3, 251) = 753 / 753
GCD(3, 251) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 384) = 384
GCD(1, 384) = ( 1 x 384 ) / 384
GCD(1, 384) = 384 / 384
GCD(1, 384) = 1
GCD of 423, 168, 251, 384 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 423, 168, 251, 384?
GCD of 423, 168, 251, 384 is 1
2. Where do I get the detailed procedure to find GCD of 423, 168, 251, 384?
You can find a detailed procedure to find GCD of 423, 168, 251, 384 on our page.
3. How to find GCD of 423, 168, 251, 384 on a calculator?
You can find the GCD of 423, 168, 251, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.