GCD of 576, 750, 562, 730 Calculator

Given Input numbers are 576, 750, 562, 730

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 562

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

1, 2, 281, 562

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 576, 750, 562, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 750, 562, 730 is 2.

Therefore, GCD of numbers 576, 750, 562, 730 is 2

Given Input Data is 576, 750, 562, 730

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 562 is 2 x 281

Prime Factorization of 730 is 2 x 5 x 73

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(576, 750) = 72000

GCD(576, 750) = ( 576 x 750 ) / 72000

GCD(576, 750) = 432000 / 72000

GCD(576, 750) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 562

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

LCM(6, 562) = 1686

GCD(6, 562) = ( 6 x 562 ) / 1686

GCD(6, 562) = 3372 / 1686

GCD(6, 562) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 730

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

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

GCD(2, 730) = 1460 / 730

GCD(2, 730) = 2

GCD of 576, 750, 562, 730 is 2

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1. What is the GCD of 576, 750, 562, 730?

GCD of 576, 750, 562, 730 is 2

2. Where do I get the detailed procedure to find GCD of 576, 750, 562, 730?

You can find a detailed procedure to find GCD of 576, 750, 562, 730 on our page.

3. How to find GCD of 576, 750, 562, 730 on a calculator?

You can find the GCD of 576, 750, 562, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.