GCD of 687, 390, 993, 177 Calculator

Given Input numbers are 687, 390, 993, 177

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

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

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 687, 390, 993, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 390, 993, 177 is 3.

Therefore, GCD of numbers 687, 390, 993, 177 is 3

Given Input Data is 687, 390, 993, 177

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 993 is 3 x 331

Prime Factorization of 177 is 3 x 59

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(687, 390) = 89310

GCD(687, 390) = ( 687 x 390 ) / 89310

GCD(687, 390) = 267930 / 89310

GCD(687, 390) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 993

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

LCM(3, 993) = 993

GCD(3, 993) = ( 3 x 993 ) / 993

GCD(3, 993) = 2979 / 993

GCD(3, 993) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 177

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

LCM(3, 177) = 177

GCD(3, 177) = ( 3 x 177 ) / 177

GCD(3, 177) = 531 / 177

GCD(3, 177) = 3

GCD of 687, 390, 993, 177 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 685, 685, 137
• GCD of 913, 127, 593, 776
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• GCD of 343, 438, 170, 941
• GCD of 669, 312, 407, 705

1. What is the GCD of 687, 390, 993, 177?

GCD of 687, 390, 993, 177 is 3

2. Where do I get the detailed procedure to find GCD of 687, 390, 993, 177?

You can find a detailed procedure to find GCD of 687, 390, 993, 177 on our page.

3. How to find GCD of 687, 390, 993, 177 on a calculator?

You can find the GCD of 687, 390, 993, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.