GCD of 315, 774, 945 Calculator

Given Input numbers are 315, 774, 945

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 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

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 315, 774, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 774, 945 is 9.

Therefore, GCD of numbers 315, 774, 945 is 9

Given Input Data is 315, 774, 945

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 774 is 2 x 3 x 3 x 43

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

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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, 774) = 27090

GCD(315, 774) = ( 315 x 774 ) / 27090

GCD(315, 774) = 243810 / 27090

GCD(315, 774) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 945

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

LCM(9, 945) = 945

GCD(9, 945) = ( 9 x 945 ) / 945

GCD(9, 945) = 8505 / 945

GCD(9, 945) = 9

GCD of 315, 774, 945 is 9

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1. What is the GCD of 315, 774, 945?

GCD of 315, 774, 945 is 9

2. Where do I get the detailed procedure to find GCD of 315, 774, 945?

You can find a detailed procedure to find GCD of 315, 774, 945 on our page.

3. How to find GCD of 315, 774, 945 on a calculator?

You can find the GCD of 315, 774, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.