GCD of 378, 997, 675, 459 Calculator

Given Input numbers are 378, 997, 675, 459

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 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 378, 997, 675, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 997, 675, 459 is 1.

Therefore, GCD of numbers 378, 997, 675, 459 is 1

Given Input Data is 378, 997, 675, 459

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 997 is 997

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 459 is 3 x 3 x 3 x 17

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, 997) = 376866

GCD(378, 997) = ( 378 x 997 ) / 376866

GCD(378, 997) = 376866 / 376866

GCD(378, 997) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 378, 997, 675, 459 is 1

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1. What is the GCD of 378, 997, 675, 459?

GCD of 378, 997, 675, 459 is 1

2. Where do I get the detailed procedure to find GCD of 378, 997, 675, 459?

You can find a detailed procedure to find GCD of 378, 997, 675, 459 on our page.

3. How to find GCD of 378, 997, 675, 459 on a calculator?

You can find the GCD of 378, 997, 675, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.