GCD of 163, 802, 884, 714 Calculator

Given Input numbers are 163, 802, 884, 714

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

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 163, 802, 884, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 163, 802, 884, 714 is 1.

Therefore, GCD of numbers 163, 802, 884, 714 is 1

Given Input Data is 163, 802, 884, 714

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

Prime Factorization of 163 is 163

Prime Factorization of 802 is 2 x 401

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 714 is 2 x 3 x 7 x 17

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(163, 802) = 130726

GCD(163, 802) = ( 163 x 802 ) / 130726

GCD(163, 802) = 130726 / 130726

GCD(163, 802) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 163, 802, 884, 714 is 1

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1. What is the GCD of 163, 802, 884, 714?

GCD of 163, 802, 884, 714 is 1

2. Where do I get the detailed procedure to find GCD of 163, 802, 884, 714?

You can find a detailed procedure to find GCD of 163, 802, 884, 714 on our page.

3. How to find GCD of 163, 802, 884, 714 on a calculator?

You can find the GCD of 163, 802, 884, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.