GCD of 315, 646, 72, 969 Calculator

Given Input numbers are 315, 646, 72, 969

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 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 315, 646, 72, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 646, 72, 969 is 1.

Therefore, GCD of numbers 315, 646, 72, 969 is 1

Given Input Data is 315, 646, 72, 969

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 646 is 2 x 17 x 19

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 969 is 3 x 17 x 19

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, 646) = 203490

GCD(315, 646) = ( 315 x 646 ) / 203490

GCD(315, 646) = 203490 / 203490

GCD(315, 646) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 315, 646, 72, 969 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 982, 36, 689
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• GCD of 211, 860, 52, 477

1. What is the GCD of 315, 646, 72, 969?

GCD of 315, 646, 72, 969 is 1

2. Where do I get the detailed procedure to find GCD of 315, 646, 72, 969?

You can find a detailed procedure to find GCD of 315, 646, 72, 969 on our page.

3. How to find GCD of 315, 646, 72, 969 on a calculator?

You can find the GCD of 315, 646, 72, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.