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, 372, 52, 319 i.e. 1 largest integer that divides all the numbers equally.
GCD of 548, 372, 52, 319 is 1
GCD(548, 372, 52, 319) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 548, 372, 52, 319 is 1
GCD(548, 372, 52, 319) = 1
Given Input numbers are 548, 372, 52, 319
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 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
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Greatest Common Divisior
We found the divisors of 548, 372, 52, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 372, 52, 319 is 1.
Therefore, GCD of numbers 548, 372, 52, 319 is 1
Given Input Data is 548, 372, 52, 319
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 372 is 2 x 2 x 3 x 31
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 319 is 11 x 29
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, 372) = 50964
GCD(548, 372) = ( 548 x 372 ) / 50964
GCD(548, 372) = 203856 / 50964
GCD(548, 372) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 52) = 52
GCD(4, 52) = ( 4 x 52 ) / 52
GCD(4, 52) = 208 / 52
GCD(4, 52) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 319
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 319) = 1276
GCD(4, 319) = ( 4 x 319 ) / 1276
GCD(4, 319) = 1276 / 1276
GCD(4, 319) = 1
GCD of 548, 372, 52, 319 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 548, 372, 52, 319?
GCD of 548, 372, 52, 319 is 1
2. Where do I get the detailed procedure to find GCD of 548, 372, 52, 319?
You can find a detailed procedure to find GCD of 548, 372, 52, 319 on our page.
3. How to find GCD of 548, 372, 52, 319 on a calculator?
You can find the GCD of 548, 372, 52, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.