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 38, 308, 577, 528 i.e. 1 largest integer that divides all the numbers equally.
GCD of 38, 308, 577, 528 is 1
GCD(38, 308, 577, 528) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 38, 308, 577, 528 is 1
GCD(38, 308, 577, 528) = 1
Given Input numbers are 38, 308, 577, 528
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Greatest Common Divisior
We found the divisors of 38, 308, 577, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 308, 577, 528 is 1.
Therefore, GCD of numbers 38, 308, 577, 528 is 1
Given Input Data is 38, 308, 577, 528
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 38 is 2 x 19
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 577 is 577
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
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(38, 308) = 5852
GCD(38, 308) = ( 38 x 308 ) / 5852
GCD(38, 308) = 11704 / 5852
GCD(38, 308) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 577
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 577) = 1154
GCD(2, 577) = ( 2 x 577 ) / 1154
GCD(2, 577) = 1154 / 1154
GCD(2, 577) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 528
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 528) = 528
GCD(1, 528) = ( 1 x 528 ) / 528
GCD(1, 528) = 528 / 528
GCD(1, 528) = 1
GCD of 38, 308, 577, 528 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 38, 308, 577, 528?
GCD of 38, 308, 577, 528 is 1
2. Where do I get the detailed procedure to find GCD of 38, 308, 577, 528?
You can find a detailed procedure to find GCD of 38, 308, 577, 528 on our page.
3. How to find GCD of 38, 308, 577, 528 on a calculator?
You can find the GCD of 38, 308, 577, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.