GCD of 468, 871, 11, 800 Calculator

Given Input numbers are 468, 871, 11, 800

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

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 468, 871, 11, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 871, 11, 800 is 1.

Therefore, GCD of numbers 468, 871, 11, 800 is 1

Given Input Data is 468, 871, 11, 800

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 871 is 13 x 67

Prime Factorization of 11 is 11

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(468, 871) = 31356

GCD(468, 871) = ( 468 x 871 ) / 31356

GCD(468, 871) = 407628 / 31356

GCD(468, 871) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 11

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

LCM(13, 11) = 143

GCD(13, 11) = ( 13 x 11 ) / 143

GCD(13, 11) = 143 / 143

GCD(13, 11) = 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 468, 871, 11, 800 is 1

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• GCD of 949, 892, 86, 587
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• GCD of 921, 121, 82, 217
• GCD of 204, 987, 56, 846

1. What is the GCD of 468, 871, 11, 800?

GCD of 468, 871, 11, 800 is 1

2. Where do I get the detailed procedure to find GCD of 468, 871, 11, 800?

You can find a detailed procedure to find GCD of 468, 871, 11, 800 on our page.

3. How to find GCD of 468, 871, 11, 800 on a calculator?

You can find the GCD of 468, 871, 11, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.