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 540, 788, 863, 188 i.e. 1 largest integer that divides all the numbers equally.
GCD of 540, 788, 863, 188 is 1
GCD(540, 788, 863, 188) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 540, 788, 863, 188 is 1
GCD(540, 788, 863, 188) = 1
Given Input numbers are 540, 788, 863, 188
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 863
List of positive integer divisors of 863 that divides 863 without a remainder.
1, 863
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Greatest Common Divisior
We found the divisors of 540, 788, 863, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 788, 863, 188 is 1.
Therefore, GCD of numbers 540, 788, 863, 188 is 1
Given Input Data is 540, 788, 863, 188
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 863 is 863
Prime Factorization of 188 is 2 x 2 x 47
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(540, 788) = 106380
GCD(540, 788) = ( 540 x 788 ) / 106380
GCD(540, 788) = 425520 / 106380
GCD(540, 788) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 863
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 863) = 3452
GCD(4, 863) = ( 4 x 863 ) / 3452
GCD(4, 863) = 3452 / 3452
GCD(4, 863) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 188) = 188
GCD(1, 188) = ( 1 x 188 ) / 188
GCD(1, 188) = 188 / 188
GCD(1, 188) = 1
GCD of 540, 788, 863, 188 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 540, 788, 863, 188?
GCD of 540, 788, 863, 188 is 1
2. Where do I get the detailed procedure to find GCD of 540, 788, 863, 188?
You can find a detailed procedure to find GCD of 540, 788, 863, 188 on our page.
3. How to find GCD of 540, 788, 863, 188 on a calculator?
You can find the GCD of 540, 788, 863, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.