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 388, 648, 57, 283 i.e. 1 largest integer that divides all the numbers equally.
GCD of 388, 648, 57, 283 is 1
GCD(388, 648, 57, 283) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 388, 648, 57, 283 is 1
GCD(388, 648, 57, 283) = 1
Given Input numbers are 388, 648, 57, 283
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Greatest Common Divisior
We found the divisors of 388, 648, 57, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 648, 57, 283 is 1.
Therefore, GCD of numbers 388, 648, 57, 283 is 1
Given Input Data is 388, 648, 57, 283
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 388 is 2 x 2 x 97
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 57 is 3 x 19
Prime Factorization of 283 is 283
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(388, 648) = 62856
GCD(388, 648) = ( 388 x 648 ) / 62856
GCD(388, 648) = 251424 / 62856
GCD(388, 648) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 57) = 228
GCD(4, 57) = ( 4 x 57 ) / 228
GCD(4, 57) = 228 / 228
GCD(4, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 283
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 283) = 283
GCD(1, 283) = ( 1 x 283 ) / 283
GCD(1, 283) = 283 / 283
GCD(1, 283) = 1
GCD of 388, 648, 57, 283 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 388, 648, 57, 283?
GCD of 388, 648, 57, 283 is 1
2. Where do I get the detailed procedure to find GCD of 388, 648, 57, 283?
You can find a detailed procedure to find GCD of 388, 648, 57, 283 on our page.
3. How to find GCD of 388, 648, 57, 283 on a calculator?
You can find the GCD of 388, 648, 57, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.