GCD of 882, 614, 56, 592 Calculator

Given Input numbers are 882, 614, 56, 592

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

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

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 882, 614, 56, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 614, 56, 592 is 2.

Therefore, GCD of numbers 882, 614, 56, 592 is 2

Given Input Data is 882, 614, 56, 592

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

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 614 is 2 x 307

Prime Factorization of 56 is 2 x 2 x 2 x 7

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(882, 614) = 270774

GCD(882, 614) = ( 882 x 614 ) / 270774

GCD(882, 614) = 541548 / 270774

GCD(882, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 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 882, 614, 56, 592 is 2

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1. What is the GCD of 882, 614, 56, 592?

GCD of 882, 614, 56, 592 is 2

2. Where do I get the detailed procedure to find GCD of 882, 614, 56, 592?

You can find a detailed procedure to find GCD of 882, 614, 56, 592 on our page.

3. How to find GCD of 882, 614, 56, 592 on a calculator?

You can find the GCD of 882, 614, 56, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.