GCD of 871, 116, 771, 199 Calculator

Given Input numbers are 871, 116, 771, 199

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 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 871, 116, 771, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 116, 771, 199 is 1.

Therefore, GCD of numbers 871, 116, 771, 199 is 1

Given Input Data is 871, 116, 771, 199

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 771 is 3 x 257

Prime Factorization of 199 is 199

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, 116) = 101036

GCD(871, 116) = ( 871 x 116 ) / 101036

GCD(871, 116) = 101036 / 101036

GCD(871, 116) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

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

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 871, 116, 771, 199 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 279, 666, 288
• GCD of 256, 142, 501, 479
• GCD of 399, 853, 118, 181
• GCD of 475, 134, 717, 416
• GCD of 526, 108, 496, 443

1. What is the GCD of 871, 116, 771, 199?

GCD of 871, 116, 771, 199 is 1

2. Where do I get the detailed procedure to find GCD of 871, 116, 771, 199?

You can find a detailed procedure to find GCD of 871, 116, 771, 199 on our page.

3. How to find GCD of 871, 116, 771, 199 on a calculator?

You can find the GCD of 871, 116, 771, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.