GCD of 807, 657, 315 Calculator

Given Input numbers are 807, 657, 315

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

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

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

Greatest Common Divisior

We found the divisors of 807, 657, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 657, 315 is 3.

Therefore, GCD of numbers 807, 657, 315 is 3

Given Input Data is 807, 657, 315

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

Prime Factorization of 807 is 3 x 269

Prime Factorization of 657 is 3 x 3 x 73

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(807, 657) = 176733

GCD(807, 657) = ( 807 x 657 ) / 176733

GCD(807, 657) = 530199 / 176733

GCD(807, 657) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 315

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

LCM(3, 315) = 315

GCD(3, 315) = ( 3 x 315 ) / 315

GCD(3, 315) = 945 / 315

GCD(3, 315) = 3

GCD of 807, 657, 315 is 3

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1. What is the GCD of 807, 657, 315?

GCD of 807, 657, 315 is 3

2. Where do I get the detailed procedure to find GCD of 807, 657, 315?

You can find a detailed procedure to find GCD of 807, 657, 315 on our page.

3. How to find GCD of 807, 657, 315 on a calculator?

You can find the GCD of 807, 657, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.