GCD of 871, 212, 501, 107 Calculator

Given Input numbers are 871, 212, 501, 107

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 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 871, 212, 501, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 212, 501, 107 is 1.

Therefore, GCD of numbers 871, 212, 501, 107 is 1

Given Input Data is 871, 212, 501, 107

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 501 is 3 x 167

Prime Factorization of 107 is 107

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, 212) = 184652

GCD(871, 212) = ( 871 x 212 ) / 184652

GCD(871, 212) = 184652 / 184652

GCD(871, 212) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

GCD of 871, 212, 501, 107 is 1

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1. What is the GCD of 871, 212, 501, 107?

GCD of 871, 212, 501, 107 is 1

2. Where do I get the detailed procedure to find GCD of 871, 212, 501, 107?

You can find a detailed procedure to find GCD of 871, 212, 501, 107 on our page.

3. How to find GCD of 871, 212, 501, 107 on a calculator?

You can find the GCD of 871, 212, 501, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.