GCD of 584, 494, 80, 686 Calculator

Given Input numbers are 584, 494, 80, 686

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

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 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 584, 494, 80, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 494, 80, 686 is 2.

Therefore, GCD of numbers 584, 494, 80, 686 is 2

Given Input Data is 584, 494, 80, 686

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

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

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(584, 494) = 144248

GCD(584, 494) = ( 584 x 494 ) / 144248

GCD(584, 494) = 288496 / 144248

GCD(584, 494) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 686

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

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

GCD(2, 686) = 1372 / 686

GCD(2, 686) = 2

GCD of 584, 494, 80, 686 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 549, 85, 679
• GCD of 921, 211, 88, 675
• GCD of 234, 770, 87, 394
• GCD of 645, 874, 55, 695
• GCD of 968, 206, 81, 961

1. What is the GCD of 584, 494, 80, 686?

GCD of 584, 494, 80, 686 is 2

2. Where do I get the detailed procedure to find GCD of 584, 494, 80, 686?

You can find a detailed procedure to find GCD of 584, 494, 80, 686 on our page.

3. How to find GCD of 584, 494, 80, 686 on a calculator?

You can find the GCD of 584, 494, 80, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.