GCD of 871, 196, 71, 968 Calculator

Given Input numbers are 871, 196, 71, 968

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 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Greatest Common Divisior

We found the divisors of 871, 196, 71, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 196, 71, 968 is 1.

Therefore, GCD of numbers 871, 196, 71, 968 is 1

Given Input Data is 871, 196, 71, 968

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 71 is 71

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

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, 196) = 170716

GCD(871, 196) = ( 871 x 196 ) / 170716

GCD(871, 196) = 170716 / 170716

GCD(871, 196) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 968

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

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

GCD(1, 968) = 968 / 968

GCD(1, 968) = 1

GCD of 871, 196, 71, 968 is 1

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1. What is the GCD of 871, 196, 71, 968?

GCD of 871, 196, 71, 968 is 1

2. Where do I get the detailed procedure to find GCD of 871, 196, 71, 968?

You can find a detailed procedure to find GCD of 871, 196, 71, 968 on our page.

3. How to find GCD of 871, 196, 71, 968 on a calculator?

You can find the GCD of 871, 196, 71, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.