GCD of 871, 920, 825, 210 Calculator

Given Input numbers are 871, 920, 825, 210

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

Divisors of 871

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

1, 13, 67, 871

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 871, 920, 825, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 920, 825, 210 is 1.

Therefore, GCD of numbers 871, 920, 825, 210 is 1

Given Input Data is 871, 920, 825, 210

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 210 is 2 x 3 x 5 x 7

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(871, 920) = 801320

GCD(871, 920) = ( 871 x 920 ) / 801320

GCD(871, 920) = 801320 / 801320

GCD(871, 920) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 210

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

LCM(1, 210) = 210

GCD(1, 210) = ( 1 x 210 ) / 210

GCD(1, 210) = 210 / 210

GCD(1, 210) = 1

GCD of 871, 920, 825, 210 is 1

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1. What is the GCD of 871, 920, 825, 210?

GCD of 871, 920, 825, 210 is 1

2. Where do I get the detailed procedure to find GCD of 871, 920, 825, 210?

You can find a detailed procedure to find GCD of 871, 920, 825, 210 on our page.

3. How to find GCD of 871, 920, 825, 210 on a calculator?

You can find the GCD of 871, 920, 825, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.