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, 313, 51, 169 i.e. 1 largest integer that divides all the numbers equally.
GCD of 432, 313, 51, 169 is 1
GCD(432, 313, 51, 169) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 313, 51, 169 is 1
GCD(432, 313, 51, 169) = 1
Given Input numbers are 432, 313, 51, 169
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 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Greatest Common Divisior
We found the divisors of 432, 313, 51, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 313, 51, 169 is 1.
Therefore, GCD of numbers 432, 313, 51, 169 is 1
Given Input Data is 432, 313, 51, 169
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 313 is 313
Prime Factorization of 51 is 3 x 17
Prime Factorization of 169 is 13 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(432, 313) = 135216
GCD(432, 313) = ( 432 x 313 ) / 135216
GCD(432, 313) = 135216 / 135216
GCD(432, 313) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 169
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 169) = 169
GCD(1, 169) = ( 1 x 169 ) / 169
GCD(1, 169) = 169 / 169
GCD(1, 169) = 1
GCD of 432, 313, 51, 169 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 313, 51, 169?
GCD of 432, 313, 51, 169 is 1
2. Where do I get the detailed procedure to find GCD of 432, 313, 51, 169?
You can find a detailed procedure to find GCD of 432, 313, 51, 169 on our page.
3. How to find GCD of 432, 313, 51, 169 on a calculator?
You can find the GCD of 432, 313, 51, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.