GCD of 288, 371, 657, 795 Calculator

Given Input numbers are 288, 371, 657, 795

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 657

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

1, 3, 9, 73, 219, 657

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Greatest Common Divisior

We found the divisors of 288, 371, 657, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 371, 657, 795 is 1.

Therefore, GCD of numbers 288, 371, 657, 795 is 1

Given Input Data is 288, 371, 657, 795

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 371 is 7 x 53

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 795 is 3 x 5 x 53

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(288, 371) = 106848

GCD(288, 371) = ( 288 x 371 ) / 106848

GCD(288, 371) = 106848 / 106848

GCD(288, 371) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 795

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

LCM(1, 795) = 795

GCD(1, 795) = ( 1 x 795 ) / 795

GCD(1, 795) = 795 / 795

GCD(1, 795) = 1

GCD of 288, 371, 657, 795 is 1

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1. What is the GCD of 288, 371, 657, 795?

GCD of 288, 371, 657, 795 is 1

2. Where do I get the detailed procedure to find GCD of 288, 371, 657, 795?

You can find a detailed procedure to find GCD of 288, 371, 657, 795 on our page.

3. How to find GCD of 288, 371, 657, 795 on a calculator?

You can find the GCD of 288, 371, 657, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.