GCD of 268, 530, 442 Calculator

Given Input numbers are 268, 530, 442

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 268, 530, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 530, 442 is 2.

Therefore, GCD of numbers 268, 530, 442 is 2

Given Input Data is 268, 530, 442

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 442 is 2 x 13 x 17

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(268, 530) = 71020

GCD(268, 530) = ( 268 x 530 ) / 71020

GCD(268, 530) = 142040 / 71020

GCD(268, 530) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 442

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

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

GCD(2, 442) = 884 / 442

GCD(2, 442) = 2

GCD of 268, 530, 442 is 2

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1. What is the GCD of 268, 530, 442?

GCD of 268, 530, 442 is 2

2. Where do I get the detailed procedure to find GCD of 268, 530, 442?

You can find a detailed procedure to find GCD of 268, 530, 442 on our page.

3. How to find GCD of 268, 530, 442 on a calculator?

You can find the GCD of 268, 530, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.