GCD of 643, 871, 105 Calculator

Given Input numbers are 643, 871, 105

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

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 871

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

1, 13, 67, 871

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 643, 871, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 871, 105 is 1.

Therefore, GCD of numbers 643, 871, 105 is 1

Given Input Data is 643, 871, 105

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

Prime Factorization of 643 is 643

Prime Factorization of 871 is 13 x 67

Prime Factorization of 105 is 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(643, 871) = 560053

GCD(643, 871) = ( 643 x 871 ) / 560053

GCD(643, 871) = 560053 / 560053

GCD(643, 871) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 643, 871, 105 is 1

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• GCD of 626, 735, 930
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1. What is the GCD of 643, 871, 105?

GCD of 643, 871, 105 is 1

2. Where do I get the detailed procedure to find GCD of 643, 871, 105?

You can find a detailed procedure to find GCD of 643, 871, 105 on our page.

3. How to find GCD of 643, 871, 105 on a calculator?

You can find the GCD of 643, 871, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.