GCD of 864, 560, 992, 290 Calculator

Given Input numbers are 864, 560, 992, 290

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

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 864, 560, 992, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 560, 992, 290 is 2.

Therefore, GCD of numbers 864, 560, 992, 290 is 2

Given Input Data is 864, 560, 992, 290

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

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 290 is 2 x 5 x 29

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(864, 560) = 30240

GCD(864, 560) = ( 864 x 560 ) / 30240

GCD(864, 560) = 483840 / 30240

GCD(864, 560) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 992

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

LCM(16, 992) = 992

GCD(16, 992) = ( 16 x 992 ) / 992

GCD(16, 992) = 15872 / 992

GCD(16, 992) = 16

Step3:

Here we consider the GCD from the above i.e. 16 as first number and the next as 290

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

LCM(16, 290) = 2320

GCD(16, 290) = ( 16 x 290 ) / 2320

GCD(16, 290) = 4640 / 2320

GCD(16, 290) = 2

GCD of 864, 560, 992, 290 is 2

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1. What is the GCD of 864, 560, 992, 290?

GCD of 864, 560, 992, 290 is 2

2. Where do I get the detailed procedure to find GCD of 864, 560, 992, 290?

You can find a detailed procedure to find GCD of 864, 560, 992, 290 on our page.

3. How to find GCD of 864, 560, 992, 290 on a calculator?

You can find the GCD of 864, 560, 992, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.