GCD of 838, 687, 177, 180 Calculator

Given Input numbers are 838, 687, 177, 180

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 687

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

1, 3, 229, 687

Divisors of 177

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

1, 3, 59, 177

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 838, 687, 177, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 687, 177, 180 is 1.

Therefore, GCD of numbers 838, 687, 177, 180 is 1

Given Input Data is 838, 687, 177, 180

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 687 is 3 x 229

Prime Factorization of 177 is 3 x 59

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

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(838, 687) = 575706

GCD(838, 687) = ( 838 x 687 ) / 575706

GCD(838, 687) = 575706 / 575706

GCD(838, 687) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 838, 687, 177, 180 is 1

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1. What is the GCD of 838, 687, 177, 180?

GCD of 838, 687, 177, 180 is 1

2. Where do I get the detailed procedure to find GCD of 838, 687, 177, 180?

You can find a detailed procedure to find GCD of 838, 687, 177, 180 on our page.

3. How to find GCD of 838, 687, 177, 180 on a calculator?

You can find the GCD of 838, 687, 177, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.