GCD of 657, 314, 824 Calculator

Given Input numbers are 657, 314, 824

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

Divisors of 657

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

1, 3, 9, 73, 219, 657

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 657, 314, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 314, 824 is 1.

Therefore, GCD of numbers 657, 314, 824 is 1

Given Input Data is 657, 314, 824

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 314 is 2 x 157

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(657, 314) = 206298

GCD(657, 314) = ( 657 x 314 ) / 206298

GCD(657, 314) = 206298 / 206298

GCD(657, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 657, 314, 824 is 1

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1. What is the GCD of 657, 314, 824?

GCD of 657, 314, 824 is 1

2. Where do I get the detailed procedure to find GCD of 657, 314, 824?

You can find a detailed procedure to find GCD of 657, 314, 824 on our page.

3. How to find GCD of 657, 314, 824 on a calculator?

You can find the GCD of 657, 314, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.