GCD of 86, 280, 538, 442 Calculator

Given Input numbers are 86, 280, 538, 442

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

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

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 86, 280, 538, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 280, 538, 442 is 2.

Therefore, GCD of numbers 86, 280, 538, 442 is 2

Given Input Data is 86, 280, 538, 442

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 538 is 2 x 269

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(86, 280) = 12040

GCD(86, 280) = ( 86 x 280 ) / 12040

GCD(86, 280) = 24080 / 12040

GCD(86, 280) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 538

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

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

GCD(2, 538) = 1076 / 538

GCD(2, 538) = 2

Step3:

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 86, 280, 538, 442 is 2

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1. What is the GCD of 86, 280, 538, 442?

GCD of 86, 280, 538, 442 is 2

2. Where do I get the detailed procedure to find GCD of 86, 280, 538, 442?

You can find a detailed procedure to find GCD of 86, 280, 538, 442 on our page.

3. How to find GCD of 86, 280, 538, 442 on a calculator?

You can find the GCD of 86, 280, 538, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.