GCD of 871, 739, 25, 638 Calculator

Given Input numbers are 871, 739, 25, 638

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 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Greatest Common Divisior

We found the divisors of 871, 739, 25, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 739, 25, 638 is 1.

Therefore, GCD of numbers 871, 739, 25, 638 is 1

Given Input Data is 871, 739, 25, 638

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 739 is 739

Prime Factorization of 25 is 5 x 5

Prime Factorization of 638 is 2 x 11 x 29

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, 739) = 643669

GCD(871, 739) = ( 871 x 739 ) / 643669

GCD(871, 739) = 643669 / 643669

GCD(871, 739) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 638

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

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

GCD(1, 638) = 638 / 638

GCD(1, 638) = 1

GCD of 871, 739, 25, 638 is 1

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• GCD of 475, 443, 17, 106
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• GCD of 930, 177, 79, 799

1. What is the GCD of 871, 739, 25, 638?

GCD of 871, 739, 25, 638 is 1

2. Where do I get the detailed procedure to find GCD of 871, 739, 25, 638?

You can find a detailed procedure to find GCD of 871, 739, 25, 638 on our page.

3. How to find GCD of 871, 739, 25, 638 on a calculator?

You can find the GCD of 871, 739, 25, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.