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 393, 280, 274, 548 i.e. 1 largest integer that divides all the numbers equally.
GCD of 393, 280, 274, 548 is 1
GCD(393, 280, 274, 548) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 393, 280, 274, 548 is 1
GCD(393, 280, 274, 548) = 1
Given Input numbers are 393, 280, 274, 548
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Greatest Common Divisior
We found the divisors of 393, 280, 274, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 280, 274, 548 is 1.
Therefore, GCD of numbers 393, 280, 274, 548 is 1
Given Input Data is 393, 280, 274, 548
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 393 is 3 x 131
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 274 is 2 x 137
Prime Factorization of 548 is 2 x 2 x 137
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(393, 280) = 110040
GCD(393, 280) = ( 393 x 280 ) / 110040
GCD(393, 280) = 110040 / 110040
GCD(393, 280) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 274
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 274) = 274
GCD(1, 274) = ( 1 x 274 ) / 274
GCD(1, 274) = 274 / 274
GCD(1, 274) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 548
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 548) = 548
GCD(1, 548) = ( 1 x 548 ) / 548
GCD(1, 548) = 548 / 548
GCD(1, 548) = 1
GCD of 393, 280, 274, 548 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 393, 280, 274, 548?
GCD of 393, 280, 274, 548 is 1
2. Where do I get the detailed procedure to find GCD of 393, 280, 274, 548?
You can find a detailed procedure to find GCD of 393, 280, 274, 548 on our page.
3. How to find GCD of 393, 280, 274, 548 on a calculator?
You can find the GCD of 393, 280, 274, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.