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 538, 577, 318, 288 i.e. 1 largest integer that divides all the numbers equally.
GCD of 538, 577, 318, 288 is 1
GCD(538, 577, 318, 288) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 538, 577, 318, 288 is 1
GCD(538, 577, 318, 288) = 1
Given Input numbers are 538, 577, 318, 288
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
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 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Greatest Common Divisior
We found the divisors of 538, 577, 318, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 577, 318, 288 is 1.
Therefore, GCD of numbers 538, 577, 318, 288 is 1
Given Input Data is 538, 577, 318, 288
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 538 is 2 x 269
Prime Factorization of 577 is 577
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 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(538, 577) = 310426
GCD(538, 577) = ( 538 x 577 ) / 310426
GCD(538, 577) = 310426 / 310426
GCD(538, 577) = 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 288
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
GCD(1, 288) = 288 / 288
GCD(1, 288) = 1
GCD of 538, 577, 318, 288 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 538, 577, 318, 288?
GCD of 538, 577, 318, 288 is 1
2. Where do I get the detailed procedure to find GCD of 538, 577, 318, 288?
You can find a detailed procedure to find GCD of 538, 577, 318, 288 on our page.
3. How to find GCD of 538, 577, 318, 288 on a calculator?
You can find the GCD of 538, 577, 318, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.