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 281, 228, 72, 240 i.e. 1 largest integer that divides all the numbers equally.
GCD of 281, 228, 72, 240 is 1
GCD(281, 228, 72, 240) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 281, 228, 72, 240 is 1
GCD(281, 228, 72, 240) = 1
Given Input numbers are 281, 228, 72, 240
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 281
List of positive integer divisors of 281 that divides 281 without a remainder.
1, 281
Divisors of 228
List of positive integer divisors of 228 that divides 228 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Greatest Common Divisior
We found the divisors of 281, 228, 72, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 281, 228, 72, 240 is 1.
Therefore, GCD of numbers 281, 228, 72, 240 is 1
Given Input Data is 281, 228, 72, 240
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 281 is 281
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
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(281, 228) = 64068
GCD(281, 228) = ( 281 x 228 ) / 64068
GCD(281, 228) = 64068 / 64068
GCD(281, 228) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 240) = 240
GCD(1, 240) = ( 1 x 240 ) / 240
GCD(1, 240) = 240 / 240
GCD(1, 240) = 1
GCD of 281, 228, 72, 240 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 281, 228, 72, 240?
GCD of 281, 228, 72, 240 is 1
2. Where do I get the detailed procedure to find GCD of 281, 228, 72, 240?
You can find a detailed procedure to find GCD of 281, 228, 72, 240 on our page.
3. How to find GCD of 281, 228, 72, 240 on a calculator?
You can find the GCD of 281, 228, 72, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.