GCD of 592, 760, 90, 884 Calculator

Given Input numbers are 592, 760, 90, 884

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

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 592, 760, 90, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 760, 90, 884 is 2.

Therefore, GCD of numbers 592, 760, 90, 884 is 2

Given Input Data is 592, 760, 90, 884

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

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 884 is 2 x 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(592, 760) = 56240

GCD(592, 760) = ( 592 x 760 ) / 56240

GCD(592, 760) = 449920 / 56240

GCD(592, 760) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 90

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

LCM(8, 90) = 360

GCD(8, 90) = ( 8 x 90 ) / 360

GCD(8, 90) = 720 / 360

GCD(8, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 884

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

LCM(2, 884) = 884

GCD(2, 884) = ( 2 x 884 ) / 884

GCD(2, 884) = 1768 / 884

GCD(2, 884) = 2

GCD of 592, 760, 90, 884 is 2

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1. What is the GCD of 592, 760, 90, 884?

GCD of 592, 760, 90, 884 is 2

2. Where do I get the detailed procedure to find GCD of 592, 760, 90, 884?

You can find a detailed procedure to find GCD of 592, 760, 90, 884 on our page.

3. How to find GCD of 592, 760, 90, 884 on a calculator?

You can find the GCD of 592, 760, 90, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.