GCD of 177, 768, 139, 649 Calculator

Given Input numbers are 177, 768, 139, 649

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

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 177, 768, 139, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 768, 139, 649 is 1.

Therefore, GCD of numbers 177, 768, 139, 649 is 1

Given Input Data is 177, 768, 139, 649

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

Prime Factorization of 177 is 3 x 59

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 139 is 139

Prime Factorization of 649 is 11 x 59

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(177, 768) = 45312

GCD(177, 768) = ( 177 x 768 ) / 45312

GCD(177, 768) = 135936 / 45312

GCD(177, 768) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 139

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

LCM(3, 139) = 417

GCD(3, 139) = ( 3 x 139 ) / 417

GCD(3, 139) = 417 / 417

GCD(3, 139) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 177, 768, 139, 649 is 1

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1. What is the GCD of 177, 768, 139, 649?

GCD of 177, 768, 139, 649 is 1

2. Where do I get the detailed procedure to find GCD of 177, 768, 139, 649?

You can find a detailed procedure to find GCD of 177, 768, 139, 649 on our page.

3. How to find GCD of 177, 768, 139, 649 on a calculator?

You can find the GCD of 177, 768, 139, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.