GCD of 196, 584, 482, 871 Calculator

Given Input numbers are 196, 584, 482, 871

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

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 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Divisors of 871

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

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 196, 584, 482, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 584, 482, 871 is 1.

Therefore, GCD of numbers 196, 584, 482, 871 is 1

Given Input Data is 196, 584, 482, 871

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

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 482 is 2 x 241

Prime Factorization of 871 is 13 x 67

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(196, 584) = 28616

GCD(196, 584) = ( 196 x 584 ) / 28616

GCD(196, 584) = 114464 / 28616

GCD(196, 584) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 482

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

LCM(4, 482) = 964

GCD(4, 482) = ( 4 x 482 ) / 964

GCD(4, 482) = 1928 / 964

GCD(4, 482) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 871

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

LCM(2, 871) = 1742

GCD(2, 871) = ( 2 x 871 ) / 1742

GCD(2, 871) = 1742 / 1742

GCD(2, 871) = 1

GCD of 196, 584, 482, 871 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 205, 243, 740
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• GCD of 872, 282, 650, 126
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• GCD of 708, 135, 299, 611

1. What is the GCD of 196, 584, 482, 871?

GCD of 196, 584, 482, 871 is 1

2. Where do I get the detailed procedure to find GCD of 196, 584, 482, 871?

You can find a detailed procedure to find GCD of 196, 584, 482, 871 on our page.

3. How to find GCD of 196, 584, 482, 871 on a calculator?

You can find the GCD of 196, 584, 482, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.