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 432, 780, 953, 510 i.e. 1 largest integer that divides all the numbers equally.
GCD of 432, 780, 953, 510 is 1
GCD(432, 780, 953, 510) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 780, 953, 510 is 1
GCD(432, 780, 953, 510) = 1
Given Input numbers are 432, 780, 953, 510
To find the GCD of numbers using factoring list out all the divisors of each number
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 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Greatest Common Divisior
We found the divisors of 432, 780, 953, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 780, 953, 510 is 1.
Therefore, GCD of numbers 432, 780, 953, 510 is 1
Given Input Data is 432, 780, 953, 510
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 953 is 953
Prime Factorization of 510 is 2 x 3 x 5 x 17
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(432, 780) = 28080
GCD(432, 780) = ( 432 x 780 ) / 28080
GCD(432, 780) = 336960 / 28080
GCD(432, 780) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 953
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 953) = 11436
GCD(12, 953) = ( 12 x 953 ) / 11436
GCD(12, 953) = 11436 / 11436
GCD(12, 953) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 510
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 510) = 510
GCD(1, 510) = ( 1 x 510 ) / 510
GCD(1, 510) = 510 / 510
GCD(1, 510) = 1
GCD of 432, 780, 953, 510 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 780, 953, 510?
GCD of 432, 780, 953, 510 is 1
2. Where do I get the detailed procedure to find GCD of 432, 780, 953, 510?
You can find a detailed procedure to find GCD of 432, 780, 953, 510 on our page.
3. How to find GCD of 432, 780, 953, 510 on a calculator?
You can find the GCD of 432, 780, 953, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.