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, 767, 318, 436 i.e. 1 largest integer that divides all the numbers equally.
GCD of 432, 767, 318, 436 is 1
GCD(432, 767, 318, 436) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 767, 318, 436 is 1
GCD(432, 767, 318, 436) = 1
Given Input numbers are 432, 767, 318, 436
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 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Greatest Common Divisior
We found the divisors of 432, 767, 318, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 767, 318, 436 is 1.
Therefore, GCD of numbers 432, 767, 318, 436 is 1
Given Input Data is 432, 767, 318, 436
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 767 is 13 x 59
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 436 is 2 x 2 x 109
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, 767) = 331344
GCD(432, 767) = ( 432 x 767 ) / 331344
GCD(432, 767) = 331344 / 331344
GCD(432, 767) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
GCD(1, 318) = 318 / 318
GCD(1, 318) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 436
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 436) = 436
GCD(1, 436) = ( 1 x 436 ) / 436
GCD(1, 436) = 436 / 436
GCD(1, 436) = 1
GCD of 432, 767, 318, 436 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 767, 318, 436?
GCD of 432, 767, 318, 436 is 1
2. Where do I get the detailed procedure to find GCD of 432, 767, 318, 436?
You can find a detailed procedure to find GCD of 432, 767, 318, 436 on our page.
3. How to find GCD of 432, 767, 318, 436 on a calculator?
You can find the GCD of 432, 767, 318, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.