GCD of 133, 173, 828, 971 Calculator

Given Input numbers are 133, 173, 828, 971

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

Divisors of 133

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

1, 7, 19, 133

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 133, 173, 828, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 173, 828, 971 is 1.

Therefore, GCD of numbers 133, 173, 828, 971 is 1

Given Input Data is 133, 173, 828, 971

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 173 is 173

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 971 is 971

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(133, 173) = 23009

GCD(133, 173) = ( 133 x 173 ) / 23009

GCD(133, 173) = 23009 / 23009

GCD(133, 173) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 133, 173, 828, 971 is 1

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1. What is the GCD of 133, 173, 828, 971?

GCD of 133, 173, 828, 971 is 1

2. Where do I get the detailed procedure to find GCD of 133, 173, 828, 971?

You can find a detailed procedure to find GCD of 133, 173, 828, 971 on our page.

3. How to find GCD of 133, 173, 828, 971 on a calculator?

You can find the GCD of 133, 173, 828, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.