GCD of 502, 868, 46, 714 Calculator

Given Input numbers are 502, 868, 46, 714

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

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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 502, 868, 46, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 868, 46, 714 is 2.

Therefore, GCD of numbers 502, 868, 46, 714 is 2

Given Input Data is 502, 868, 46, 714

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 46 is 2 x 23

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(502, 868) = 217868

GCD(502, 868) = ( 502 x 868 ) / 217868

GCD(502, 868) = 435736 / 217868

GCD(502, 868) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 714

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

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

GCD(2, 714) = 1428 / 714

GCD(2, 714) = 2

GCD of 502, 868, 46, 714 is 2

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1. What is the GCD of 502, 868, 46, 714?

GCD of 502, 868, 46, 714 is 2

2. Where do I get the detailed procedure to find GCD of 502, 868, 46, 714?

You can find a detailed procedure to find GCD of 502, 868, 46, 714 on our page.

3. How to find GCD of 502, 868, 46, 714 on a calculator?

You can find the GCD of 502, 868, 46, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.