GCD of 846, 472, 502, 684 Calculator

Given Input numbers are 846, 472, 502, 684

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

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 502

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

1, 2, 251, 502

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 846, 472, 502, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 846, 472, 502, 684 is 2.

Therefore, GCD of numbers 846, 472, 502, 684 is 2

Given Input Data is 846, 472, 502, 684

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

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 502 is 2 x 251

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(846, 472) = 199656

GCD(846, 472) = ( 846 x 472 ) / 199656

GCD(846, 472) = 399312 / 199656

GCD(846, 472) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 502

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

LCM(2, 502) = 502

GCD(2, 502) = ( 2 x 502 ) / 502

GCD(2, 502) = 1004 / 502

GCD(2, 502) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 684

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

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

GCD(2, 684) = 1368 / 684

GCD(2, 684) = 2

GCD of 846, 472, 502, 684 is 2

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1. What is the GCD of 846, 472, 502, 684?

GCD of 846, 472, 502, 684 is 2

2. Where do I get the detailed procedure to find GCD of 846, 472, 502, 684?

You can find a detailed procedure to find GCD of 846, 472, 502, 684 on our page.

3. How to find GCD of 846, 472, 502, 684 on a calculator?

You can find the GCD of 846, 472, 502, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.