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 542, 188, 57, 825 i.e. 1 largest integer that divides all the numbers equally.
GCD of 542, 188, 57, 825 is 1
GCD(542, 188, 57, 825) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 542, 188, 57, 825 is 1
GCD(542, 188, 57, 825) = 1
Given Input numbers are 542, 188, 57, 825
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Greatest Common Divisior
We found the divisors of 542, 188, 57, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 188, 57, 825 is 1.
Therefore, GCD of numbers 542, 188, 57, 825 is 1
Given Input Data is 542, 188, 57, 825
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 542 is 2 x 271
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 57 is 3 x 19
Prime Factorization of 825 is 3 x 5 x 5 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(542, 188) = 50948
GCD(542, 188) = ( 542 x 188 ) / 50948
GCD(542, 188) = 101896 / 50948
GCD(542, 188) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 57) = 114
GCD(2, 57) = ( 2 x 57 ) / 114
GCD(2, 57) = 114 / 114
GCD(2, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 825
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
GCD(1, 825) = 825 / 825
GCD(1, 825) = 1
GCD of 542, 188, 57, 825 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 542, 188, 57, 825?
GCD of 542, 188, 57, 825 is 1
2. Where do I get the detailed procedure to find GCD of 542, 188, 57, 825?
You can find a detailed procedure to find GCD of 542, 188, 57, 825 on our page.
3. How to find GCD of 542, 188, 57, 825 on a calculator?
You can find the GCD of 542, 188, 57, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.