GCD of 284, 452, 560, 538 Calculator

Given Input numbers are 284, 452, 560, 538

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

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 538

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

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 284, 452, 560, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 452, 560, 538 is 2.

Therefore, GCD of numbers 284, 452, 560, 538 is 2

Given Input Data is 284, 452, 560, 538

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 452 is 2 x 2 x 113

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

Prime Factorization of 538 is 2 x 269

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(284, 452) = 32092

GCD(284, 452) = ( 284 x 452 ) / 32092

GCD(284, 452) = 128368 / 32092

GCD(284, 452) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 560

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

LCM(4, 560) = 560

GCD(4, 560) = ( 4 x 560 ) / 560

GCD(4, 560) = 2240 / 560

GCD(4, 560) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 538

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

LCM(4, 538) = 1076

GCD(4, 538) = ( 4 x 538 ) / 1076

GCD(4, 538) = 2152 / 1076

GCD(4, 538) = 2

GCD of 284, 452, 560, 538 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 975, 584, 468, 598
• GCD of 524, 562, 403, 284
• GCD of 857, 998, 870, 559
• GCD of 362, 529, 620, 953
• GCD of 734, 370, 919, 105

1. What is the GCD of 284, 452, 560, 538?

GCD of 284, 452, 560, 538 is 2

2. Where do I get the detailed procedure to find GCD of 284, 452, 560, 538?

You can find a detailed procedure to find GCD of 284, 452, 560, 538 on our page.

3. How to find GCD of 284, 452, 560, 538 on a calculator?

You can find the GCD of 284, 452, 560, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.