GCD of 782, 504, 34, 684 Calculator

Given Input numbers are 782, 504, 34, 684

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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 782, 504, 34, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 504, 34, 684 is 2.

Therefore, GCD of numbers 782, 504, 34, 684 is 2

Given Input Data is 782, 504, 34, 684

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 34 is 2 x 17

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(782, 504) = 197064

GCD(782, 504) = ( 782 x 504 ) / 197064

GCD(782, 504) = 394128 / 197064

GCD(782, 504) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 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 782, 504, 34, 684 is 2

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1. What is the GCD of 782, 504, 34, 684?

GCD of 782, 504, 34, 684 is 2

2. Where do I get the detailed procedure to find GCD of 782, 504, 34, 684?

You can find a detailed procedure to find GCD of 782, 504, 34, 684 on our page.

3. How to find GCD of 782, 504, 34, 684 on a calculator?

You can find the GCD of 782, 504, 34, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.