GCD of 677, 387, 192, 288 Calculator

Given Input numbers are 677, 387, 192, 288

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

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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

Greatest Common Divisior

We found the divisors of 677, 387, 192, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 387, 192, 288 is 1.

Therefore, GCD of numbers 677, 387, 192, 288 is 1

Given Input Data is 677, 387, 192, 288

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

Prime Factorization of 677 is 677

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

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

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(677, 387) = 261999

GCD(677, 387) = ( 677 x 387 ) / 261999

GCD(677, 387) = 261999 / 261999

GCD(677, 387) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 192

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

LCM(1, 192) = 192

GCD(1, 192) = ( 1 x 192 ) / 192

GCD(1, 192) = 192 / 192

GCD(1, 192) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 677, 387, 192, 288 is 1

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1. What is the GCD of 677, 387, 192, 288?

GCD of 677, 387, 192, 288 is 1

2. Where do I get the detailed procedure to find GCD of 677, 387, 192, 288?

You can find a detailed procedure to find GCD of 677, 387, 192, 288 on our page.

3. How to find GCD of 677, 387, 192, 288 on a calculator?

You can find the GCD of 677, 387, 192, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.