GCD of 129, 921, 71, 800 Calculator

Given Input numbers are 129, 921, 71, 800

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

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 71

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

1, 71

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 129, 921, 71, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 921, 71, 800 is 1.

Therefore, GCD of numbers 129, 921, 71, 800 is 1

Given Input Data is 129, 921, 71, 800

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

Prime Factorization of 129 is 3 x 43

Prime Factorization of 921 is 3 x 307

Prime Factorization of 71 is 71

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 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(129, 921) = 39603

GCD(129, 921) = ( 129 x 921 ) / 39603

GCD(129, 921) = 118809 / 39603

GCD(129, 921) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 71

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

LCM(3, 71) = 213

GCD(3, 71) = ( 3 x 71 ) / 213

GCD(3, 71) = 213 / 213

GCD(3, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 129, 921, 71, 800 is 1

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1. What is the GCD of 129, 921, 71, 800?

GCD of 129, 921, 71, 800 is 1

2. Where do I get the detailed procedure to find GCD of 129, 921, 71, 800?

You can find a detailed procedure to find GCD of 129, 921, 71, 800 on our page.

3. How to find GCD of 129, 921, 71, 800 on a calculator?

You can find the GCD of 129, 921, 71, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.