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 548, 168, 111, 372 i.e. 1 largest integer that divides all the numbers equally.
GCD of 548, 168, 111, 372 is 1
GCD(548, 168, 111, 372) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 548, 168, 111, 372 is 1
GCD(548, 168, 111, 372) = 1
Given Input numbers are 548, 168, 111, 372
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Greatest Common Divisior
We found the divisors of 548, 168, 111, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 168, 111, 372 is 1.
Therefore, GCD of numbers 548, 168, 111, 372 is 1
Given Input Data is 548, 168, 111, 372
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 548 is 2 x 2 x 137
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 111 is 3 x 37
Prime Factorization of 372 is 2 x 2 x 3 x 31
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(548, 168) = 23016
GCD(548, 168) = ( 548 x 168 ) / 23016
GCD(548, 168) = 92064 / 23016
GCD(548, 168) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 111
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 111) = 444
GCD(4, 111) = ( 4 x 111 ) / 444
GCD(4, 111) = 444 / 444
GCD(4, 111) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 372) = 372
GCD(1, 372) = ( 1 x 372 ) / 372
GCD(1, 372) = 372 / 372
GCD(1, 372) = 1
GCD of 548, 168, 111, 372 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 548, 168, 111, 372?
GCD of 548, 168, 111, 372 is 1
2. Where do I get the detailed procedure to find GCD of 548, 168, 111, 372?
You can find a detailed procedure to find GCD of 548, 168, 111, 372 on our page.
3. How to find GCD of 548, 168, 111, 372 on a calculator?
You can find the GCD of 548, 168, 111, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.