GCD of 677, 304, 54, 177 Calculator

Given Input numbers are 677, 304, 54, 177

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 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 177

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

1, 3, 59, 177

Greatest Common Divisior

We found the divisors of 677, 304, 54, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 304, 54, 177 is 1.

Therefore, GCD of numbers 677, 304, 54, 177 is 1

Given Input Data is 677, 304, 54, 177

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

Prime Factorization of 677 is 677

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 177 is 3 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(677, 304) = 205808

GCD(677, 304) = ( 677 x 304 ) / 205808

GCD(677, 304) = 205808 / 205808

GCD(677, 304) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 177

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

LCM(1, 177) = 177

GCD(1, 177) = ( 1 x 177 ) / 177

GCD(1, 177) = 177 / 177

GCD(1, 177) = 1

GCD of 677, 304, 54, 177 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 439, 94, 571
• GCD of 326, 670, 42, 459
• GCD of 331, 704, 54, 178
• GCD of 381, 682, 51, 494
• GCD of 529, 126, 27, 125

1. What is the GCD of 677, 304, 54, 177?

GCD of 677, 304, 54, 177 is 1

2. Where do I get the detailed procedure to find GCD of 677, 304, 54, 177?

You can find a detailed procedure to find GCD of 677, 304, 54, 177 on our page.

3. How to find GCD of 677, 304, 54, 177 on a calculator?

You can find the GCD of 677, 304, 54, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.