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 378, 293, 663, 537 i.e. 1 largest integer that divides all the numbers equally.
GCD of 378, 293, 663, 537 is 1
GCD(378, 293, 663, 537) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 293, 663, 537 is 1
GCD(378, 293, 663, 537) = 1
Given Input numbers are 378, 293, 663, 537
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Greatest Common Divisior
We found the divisors of 378, 293, 663, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 293, 663, 537 is 1.
Therefore, GCD of numbers 378, 293, 663, 537 is 1
Given Input Data is 378, 293, 663, 537
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 293 is 293
Prime Factorization of 663 is 3 x 13 x 17
Prime Factorization of 537 is 3 x 179
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(378, 293) = 110754
GCD(378, 293) = ( 378 x 293 ) / 110754
GCD(378, 293) = 110754 / 110754
GCD(378, 293) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 663
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 663) = 663
GCD(1, 663) = ( 1 x 663 ) / 663
GCD(1, 663) = 663 / 663
GCD(1, 663) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 537
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 537) = 537
GCD(1, 537) = ( 1 x 537 ) / 537
GCD(1, 537) = 537 / 537
GCD(1, 537) = 1
GCD of 378, 293, 663, 537 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 293, 663, 537?
GCD of 378, 293, 663, 537 is 1
2. Where do I get the detailed procedure to find GCD of 378, 293, 663, 537?
You can find a detailed procedure to find GCD of 378, 293, 663, 537 on our page.
3. How to find GCD of 378, 293, 663, 537 on a calculator?
You can find the GCD of 378, 293, 663, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.