GCD of 315, 742, 963, 297 Calculator

Given Input numbers are 315, 742, 963, 297

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 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 315, 742, 963, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 742, 963, 297 is 1.

Therefore, GCD of numbers 315, 742, 963, 297 is 1

Given Input Data is 315, 742, 963, 297

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 742 is 2 x 7 x 53

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 297 is 3 x 3 x 3 x 11

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, 742) = 33390

GCD(315, 742) = ( 315 x 742 ) / 33390

GCD(315, 742) = 233730 / 33390

GCD(315, 742) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 963

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

LCM(7, 963) = 6741

GCD(7, 963) = ( 7 x 963 ) / 6741

GCD(7, 963) = 6741 / 6741

GCD(7, 963) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

GCD of 315, 742, 963, 297 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 315, 742, 963, 297?

GCD of 315, 742, 963, 297 is 1

2. Where do I get the detailed procedure to find GCD of 315, 742, 963, 297?

You can find a detailed procedure to find GCD of 315, 742, 963, 297 on our page.

3. How to find GCD of 315, 742, 963, 297 on a calculator?

You can find the GCD of 315, 742, 963, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.