GCD of 871, 719, 678, 106 Calculator

Given Input numbers are 871, 719, 678, 106

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 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 871, 719, 678, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 719, 678, 106 is 1.

Therefore, GCD of numbers 871, 719, 678, 106 is 1

Given Input Data is 871, 719, 678, 106

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 719 is 719

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 106 is 2 x 53

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, 719) = 626249

GCD(871, 719) = ( 871 x 719 ) / 626249

GCD(871, 719) = 626249 / 626249

GCD(871, 719) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 871, 719, 678, 106 is 1

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1. What is the GCD of 871, 719, 678, 106?

GCD of 871, 719, 678, 106 is 1

2. Where do I get the detailed procedure to find GCD of 871, 719, 678, 106?

You can find a detailed procedure to find GCD of 871, 719, 678, 106 on our page.

3. How to find GCD of 871, 719, 678, 106 on a calculator?

You can find the GCD of 871, 719, 678, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.