GCD of 871, 294, 117 Calculator

Given Input numbers are 871, 294, 117

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 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 871, 294, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 294, 117 is 1.

Therefore, GCD of numbers 871, 294, 117 is 1

Given Input Data is 871, 294, 117

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 117 is 3 x 3 x 13

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, 294) = 256074

GCD(871, 294) = ( 871 x 294 ) / 256074

GCD(871, 294) = 256074 / 256074

GCD(871, 294) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

GCD of 871, 294, 117 is 1

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1. What is the GCD of 871, 294, 117?

GCD of 871, 294, 117 is 1

2. Where do I get the detailed procedure to find GCD of 871, 294, 117?

You can find a detailed procedure to find GCD of 871, 294, 117 on our page.

3. How to find GCD of 871, 294, 117 on a calculator?

You can find the GCD of 871, 294, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.