GCD of 325, 315, 21, 945 Calculator

Given Input numbers are 325, 315, 21, 945

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

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

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 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 325, 315, 21, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 325, 315, 21, 945 is 1.

Therefore, GCD of numbers 325, 315, 21, 945 is 1

Given Input Data is 325, 315, 21, 945

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

Prime Factorization of 325 is 5 x 5 x 13

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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(325, 315) = 20475

GCD(325, 315) = ( 325 x 315 ) / 20475

GCD(325, 315) = 102375 / 20475

GCD(325, 315) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 21

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

LCM(5, 21) = 105

GCD(5, 21) = ( 5 x 21 ) / 105

GCD(5, 21) = 105 / 105

GCD(5, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 325, 315, 21, 945 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 535, 45, 819
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• GCD of 196, 373, 40, 883

1. What is the GCD of 325, 315, 21, 945?

GCD of 325, 315, 21, 945 is 1

2. Where do I get the detailed procedure to find GCD of 325, 315, 21, 945?

You can find a detailed procedure to find GCD of 325, 315, 21, 945 on our page.

3. How to find GCD of 325, 315, 21, 945 on a calculator?

You can find the GCD of 325, 315, 21, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.