GCD of 560, 980, 584 Calculator

Given Input numbers are 560, 980, 584

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 560, 980, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 980, 584 is 4.

Therefore, GCD of numbers 560, 980, 584 is 4

Given Input Data is 560, 980, 584

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(560, 980) = 3920

GCD(560, 980) = ( 560 x 980 ) / 3920

GCD(560, 980) = 548800 / 3920

GCD(560, 980) = 140

Step2:

Here we consider the GCD from the above i.e. 140 as first number and the next as 584

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

LCM(140, 584) = 20440

GCD(140, 584) = ( 140 x 584 ) / 20440

GCD(140, 584) = 81760 / 20440

GCD(140, 584) = 4

GCD of 560, 980, 584 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 286, 434
• GCD of 971, 291, 952
• GCD of 693, 379, 581
• GCD of 282, 902, 399
• GCD of 647, 731, 239

1. What is the GCD of 560, 980, 584?

GCD of 560, 980, 584 is 4

2. Where do I get the detailed procedure to find GCD of 560, 980, 584?

You can find a detailed procedure to find GCD of 560, 980, 584 on our page.

3. How to find GCD of 560, 980, 584 on a calculator?

You can find the GCD of 560, 980, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.