GCD of 260, 334, 200, 580 Calculator

Given Input numbers are 260, 334, 200, 580

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 260, 334, 200, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 334, 200, 580 is 2.

Therefore, GCD of numbers 260, 334, 200, 580 is 2

Given Input Data is 260, 334, 200, 580

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 334 is 2 x 167

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 580 is 2 x 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(260, 334) = 43420

GCD(260, 334) = ( 260 x 334 ) / 43420

GCD(260, 334) = 86840 / 43420

GCD(260, 334) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 200

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

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

GCD(2, 200) = 400 / 200

GCD(2, 200) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 580

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

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

GCD(2, 580) = 1160 / 580

GCD(2, 580) = 2

GCD of 260, 334, 200, 580 is 2

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• GCD of 549, 986, 841, 358
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1. What is the GCD of 260, 334, 200, 580?

GCD of 260, 334, 200, 580 is 2

2. Where do I get the detailed procedure to find GCD of 260, 334, 200, 580?

You can find a detailed procedure to find GCD of 260, 334, 200, 580 on our page.

3. How to find GCD of 260, 334, 200, 580 on a calculator?

You can find the GCD of 260, 334, 200, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.