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 456, 207, 80, 324 i.e. 1 largest integer that divides all the numbers equally.
GCD of 456, 207, 80, 324 is 1
GCD(456, 207, 80, 324) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 456, 207, 80, 324 is 1
GCD(456, 207, 80, 324) = 1
Given Input numbers are 456, 207, 80, 324
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Greatest Common Divisior
We found the divisors of 456, 207, 80, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 207, 80, 324 is 1.
Therefore, GCD of numbers 456, 207, 80, 324 is 1
Given Input Data is 456, 207, 80, 324
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 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(456, 207) = 31464
GCD(456, 207) = ( 456 x 207 ) / 31464
GCD(456, 207) = 94392 / 31464
GCD(456, 207) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 80) = 240
GCD(3, 80) = ( 3 x 80 ) / 240
GCD(3, 80) = 240 / 240
GCD(3, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 324
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 324) = 324
GCD(1, 324) = ( 1 x 324 ) / 324
GCD(1, 324) = 324 / 324
GCD(1, 324) = 1
GCD of 456, 207, 80, 324 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 456, 207, 80, 324?
GCD of 456, 207, 80, 324 is 1
2. Where do I get the detailed procedure to find GCD of 456, 207, 80, 324?
You can find a detailed procedure to find GCD of 456, 207, 80, 324 on our page.
3. How to find GCD of 456, 207, 80, 324 on a calculator?
You can find the GCD of 456, 207, 80, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.