GCD of 632, 562, 868, 592 Calculator

Given Input numbers are 632, 562, 868, 592

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

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 562

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

1, 2, 281, 562

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

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 632, 562, 868, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 632, 562, 868, 592 is 2.

Therefore, GCD of numbers 632, 562, 868, 592 is 2

Given Input Data is 632, 562, 868, 592

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

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 562 is 2 x 281

Prime Factorization of 868 is 2 x 2 x 7 x 31

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(632, 562) = 177592

GCD(632, 562) = ( 632 x 562 ) / 177592

GCD(632, 562) = 355184 / 177592

GCD(632, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 868

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

LCM(2, 868) = 868

GCD(2, 868) = ( 2 x 868 ) / 868

GCD(2, 868) = 1736 / 868

GCD(2, 868) = 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 632, 562, 868, 592 is 2

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1. What is the GCD of 632, 562, 868, 592?

GCD of 632, 562, 868, 592 is 2

2. Where do I get the detailed procedure to find GCD of 632, 562, 868, 592?

You can find a detailed procedure to find GCD of 632, 562, 868, 592 on our page.

3. How to find GCD of 632, 562, 868, 592 on a calculator?

You can find the GCD of 632, 562, 868, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.