GCD of 871, 718, 53, 825 Calculator

Given Input numbers are 871, 718, 53, 825

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 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

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

Greatest Common Divisior

We found the divisors of 871, 718, 53, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 718, 53, 825 is 1.

Therefore, GCD of numbers 871, 718, 53, 825 is 1

Given Input Data is 871, 718, 53, 825

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 718 is 2 x 359

Prime Factorization of 53 is 53

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

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, 718) = 625378

GCD(871, 718) = ( 871 x 718 ) / 625378

GCD(871, 718) = 625378 / 625378

GCD(871, 718) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

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

GCD of 871, 718, 53, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 869, 459, 33, 594
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• GCD of 383, 531, 42, 355
• GCD of 169, 371, 75, 239
• GCD of 993, 114, 87, 886

1. What is the GCD of 871, 718, 53, 825?

GCD of 871, 718, 53, 825 is 1

2. Where do I get the detailed procedure to find GCD of 871, 718, 53, 825?

You can find a detailed procedure to find GCD of 871, 718, 53, 825 on our page.

3. How to find GCD of 871, 718, 53, 825 on a calculator?

You can find the GCD of 871, 718, 53, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.