GCD of 562, 788, 986, 592 Calculator

Given Input numbers are 562, 788, 986, 592

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

Divisors of 562

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

1, 2, 281, 562

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

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

Greatest Common Divisior

We found the divisors of 562, 788, 986, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 788, 986, 592 is 2.

Therefore, GCD of numbers 562, 788, 986, 592 is 2

Given Input Data is 562, 788, 986, 592

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

Prime Factorization of 562 is 2 x 281

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 986 is 2 x 17 x 29

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

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(562, 788) = 221428

GCD(562, 788) = ( 562 x 788 ) / 221428

GCD(562, 788) = 442856 / 221428

GCD(562, 788) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 986

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

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

GCD(2, 986) = 1972 / 986

GCD(2, 986) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 592

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

LCM(2, 592) = 592

GCD(2, 592) = ( 2 x 592 ) / 592

GCD(2, 592) = 1184 / 592

GCD(2, 592) = 2

GCD of 562, 788, 986, 592 is 2

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1. What is the GCD of 562, 788, 986, 592?

GCD of 562, 788, 986, 592 is 2

2. Where do I get the detailed procedure to find GCD of 562, 788, 986, 592?

You can find a detailed procedure to find GCD of 562, 788, 986, 592 on our page.

3. How to find GCD of 562, 788, 986, 592 on a calculator?

You can find the GCD of 562, 788, 986, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.