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 663, 130, 255, 429 i.e. 1 largest integer that divides all the numbers equally.
GCD of 663, 130, 255, 429 is 1
GCD(663, 130, 255, 429) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 663, 130, 255, 429 is 1
GCD(663, 130, 255, 429) = 1
Given Input numbers are 663, 130, 255, 429
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Greatest Common Divisior
We found the divisors of 663, 130, 255, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 130, 255, 429 is 1.
Therefore, GCD of numbers 663, 130, 255, 429 is 1
Given Input Data is 663, 130, 255, 429
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 663 is 3 x 13 x 17
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 255 is 3 x 5 x 17
Prime Factorization of 429 is 3 x 11 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(663, 130) = 6630
GCD(663, 130) = ( 663 x 130 ) / 6630
GCD(663, 130) = 86190 / 6630
GCD(663, 130) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 255
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 255) = 3315
GCD(13, 255) = ( 13 x 255 ) / 3315
GCD(13, 255) = 3315 / 3315
GCD(13, 255) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 429
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 429) = 429
GCD(1, 429) = ( 1 x 429 ) / 429
GCD(1, 429) = 429 / 429
GCD(1, 429) = 1
GCD of 663, 130, 255, 429 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 663, 130, 255, 429?
GCD of 663, 130, 255, 429 is 1
2. Where do I get the detailed procedure to find GCD of 663, 130, 255, 429?
You can find a detailed procedure to find GCD of 663, 130, 255, 429 on our page.
3. How to find GCD of 663, 130, 255, 429 on a calculator?
You can find the GCD of 663, 130, 255, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.