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 280, 327, 25, 457 i.e. 1 largest integer that divides all the numbers equally.
GCD of 280, 327, 25, 457 is 1
GCD(280, 327, 25, 457) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 280, 327, 25, 457 is 1
GCD(280, 327, 25, 457) = 1
Given Input numbers are 280, 327, 25, 457
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Greatest Common Divisior
We found the divisors of 280, 327, 25, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 327, 25, 457 is 1.
Therefore, GCD of numbers 280, 327, 25, 457 is 1
Given Input Data is 280, 327, 25, 457
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 327 is 3 x 109
Prime Factorization of 25 is 5 x 5
Prime Factorization of 457 is 457
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(280, 327) = 91560
GCD(280, 327) = ( 280 x 327 ) / 91560
GCD(280, 327) = 91560 / 91560
GCD(280, 327) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 457
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 457) = 457
GCD(1, 457) = ( 1 x 457 ) / 457
GCD(1, 457) = 457 / 457
GCD(1, 457) = 1
GCD of 280, 327, 25, 457 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 280, 327, 25, 457?
GCD of 280, 327, 25, 457 is 1
2. Where do I get the detailed procedure to find GCD of 280, 327, 25, 457?
You can find a detailed procedure to find GCD of 280, 327, 25, 457 on our page.
3. How to find GCD of 280, 327, 25, 457 on a calculator?
You can find the GCD of 280, 327, 25, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.