GCD of 634, 133, 71, 874 Calculator

Given Input numbers are 634, 133, 71, 874

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 634, 133, 71, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 133, 71, 874 is 1.

Therefore, GCD of numbers 634, 133, 71, 874 is 1

Given Input Data is 634, 133, 71, 874

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 133 is 7 x 19

Prime Factorization of 71 is 71

Prime Factorization of 874 is 2 x 19 x 23

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(634, 133) = 84322

GCD(634, 133) = ( 634 x 133 ) / 84322

GCD(634, 133) = 84322 / 84322

GCD(634, 133) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

GCD of 634, 133, 71, 874 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 223, 81, 218
• GCD of 875, 699, 81, 213
• GCD of 548, 921, 91, 271
• GCD of 919, 641, 24, 630
• GCD of 172, 236, 28, 278

1. What is the GCD of 634, 133, 71, 874?

GCD of 634, 133, 71, 874 is 1

2. Where do I get the detailed procedure to find GCD of 634, 133, 71, 874?

You can find a detailed procedure to find GCD of 634, 133, 71, 874 on our page.

3. How to find GCD of 634, 133, 71, 874 on a calculator?

You can find the GCD of 634, 133, 71, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.