GCD of 394, 268, 314, 675 Calculator

Given Input numbers are 394, 268, 314, 675

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

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

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

Greatest Common Divisior

We found the divisors of 394, 268, 314, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 268, 314, 675 is 1.

Therefore, GCD of numbers 394, 268, 314, 675 is 1

Given Input Data is 394, 268, 314, 675

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 314 is 2 x 157

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

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(394, 268) = 52796

GCD(394, 268) = ( 394 x 268 ) / 52796

GCD(394, 268) = 105592 / 52796

GCD(394, 268) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 314

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

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

GCD(2, 314) = 628 / 314

GCD(2, 314) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 675

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

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

GCD(2, 675) = 1350 / 1350

GCD(2, 675) = 1

GCD of 394, 268, 314, 675 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 493, 916, 653
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• GCD of 274, 149, 996, 543
• GCD of 269, 530, 879, 624
• GCD of 273, 627, 350, 660

1. What is the GCD of 394, 268, 314, 675?

GCD of 394, 268, 314, 675 is 1

2. Where do I get the detailed procedure to find GCD of 394, 268, 314, 675?

You can find a detailed procedure to find GCD of 394, 268, 314, 675 on our page.

3. How to find GCD of 394, 268, 314, 675 on a calculator?

You can find the GCD of 394, 268, 314, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.