GCD of 315, 268, 326, 429 Calculator

Given Input numbers are 315, 268, 326, 429

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 268

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

1, 2, 4, 67, 134, 268

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Greatest Common Divisior

We found the divisors of 315, 268, 326, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 268, 326, 429 is 1.

Therefore, GCD of numbers 315, 268, 326, 429 is 1

Given Input Data is 315, 268, 326, 429

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 326 is 2 x 163

Prime Factorization of 429 is 3 x 11 x 13

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(315, 268) = 84420

GCD(315, 268) = ( 315 x 268 ) / 84420

GCD(315, 268) = 84420 / 84420

GCD(315, 268) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 326

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

LCM(1, 326) = 326

GCD(1, 326) = ( 1 x 326 ) / 326

GCD(1, 326) = 326 / 326

GCD(1, 326) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 429

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

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

GCD(1, 429) = 429 / 429

GCD(1, 429) = 1

GCD of 315, 268, 326, 429 is 1

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1. What is the GCD of 315, 268, 326, 429?

GCD of 315, 268, 326, 429 is 1

2. Where do I get the detailed procedure to find GCD of 315, 268, 326, 429?

You can find a detailed procedure to find GCD of 315, 268, 326, 429 on our page.

3. How to find GCD of 315, 268, 326, 429 on a calculator?

You can find the GCD of 315, 268, 326, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.