GCD of 876, 189, 68, 377 Calculator

Given Input numbers are 876, 189, 68, 377

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

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Greatest Common Divisior

We found the divisors of 876, 189, 68, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 189, 68, 377 is 1.

Therefore, GCD of numbers 876, 189, 68, 377 is 1

Given Input Data is 876, 189, 68, 377

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

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 377 is 13 x 29

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(876, 189) = 55188

GCD(876, 189) = ( 876 x 189 ) / 55188

GCD(876, 189) = 165564 / 55188

GCD(876, 189) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 68

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

LCM(3, 68) = 204

GCD(3, 68) = ( 3 x 68 ) / 204

GCD(3, 68) = 204 / 204

GCD(3, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 377

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

LCM(1, 377) = 377

GCD(1, 377) = ( 1 x 377 ) / 377

GCD(1, 377) = 377 / 377

GCD(1, 377) = 1

GCD of 876, 189, 68, 377 is 1

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1. What is the GCD of 876, 189, 68, 377?

GCD of 876, 189, 68, 377 is 1

2. Where do I get the detailed procedure to find GCD of 876, 189, 68, 377?

You can find a detailed procedure to find GCD of 876, 189, 68, 377 on our page.

3. How to find GCD of 876, 189, 68, 377 on a calculator?

You can find the GCD of 876, 189, 68, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.