GCD of 288, 370, 562 Calculator

Given Input numbers are 288, 370, 562

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Greatest Common Divisior

We found the divisors of 288, 370, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 370, 562 is 2.

Therefore, GCD of numbers 288, 370, 562 is 2

Given Input Data is 288, 370, 562

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 562 is 2 x 281

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(288, 370) = 53280

GCD(288, 370) = ( 288 x 370 ) / 53280

GCD(288, 370) = 106560 / 53280

GCD(288, 370) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 562

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

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

GCD(2, 562) = 1124 / 562

GCD(2, 562) = 2

GCD of 288, 370, 562 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 835, 284, 708
• GCD of 832, 305, 967
• GCD of 895, 501, 543
• GCD of 407, 449, 779
• GCD of 340, 762, 549

1. What is the GCD of 288, 370, 562?

GCD of 288, 370, 562 is 2

2. Where do I get the detailed procedure to find GCD of 288, 370, 562?

You can find a detailed procedure to find GCD of 288, 370, 562 on our page.

3. How to find GCD of 288, 370, 562 on a calculator?

You can find the GCD of 288, 370, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.