GCD of 294, 913, 675, 609 Calculator

Given Input numbers are 294, 913, 675, 609

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

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 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 294, 913, 675, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 913, 675, 609 is 1.

Therefore, GCD of numbers 294, 913, 675, 609 is 1

Given Input Data is 294, 913, 675, 609

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 913 is 11 x 83

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

Prime Factorization of 609 is 3 x 7 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(294, 913) = 268422

GCD(294, 913) = ( 294 x 913 ) / 268422

GCD(294, 913) = 268422 / 268422

GCD(294, 913) = 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 609

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

LCM(1, 609) = 609

GCD(1, 609) = ( 1 x 609 ) / 609

GCD(1, 609) = 609 / 609

GCD(1, 609) = 1

GCD of 294, 913, 675, 609 is 1

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1. What is the GCD of 294, 913, 675, 609?

GCD of 294, 913, 675, 609 is 1

2. Where do I get the detailed procedure to find GCD of 294, 913, 675, 609?

You can find a detailed procedure to find GCD of 294, 913, 675, 609 on our page.

3. How to find GCD of 294, 913, 675, 609 on a calculator?

You can find the GCD of 294, 913, 675, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.