GCD of 572, 776, 38, 882 Calculator

Given Input numbers are 572, 776, 38, 882

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

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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

Greatest Common Divisior

We found the divisors of 572, 776, 38, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 776, 38, 882 is 2.

Therefore, GCD of numbers 572, 776, 38, 882 is 2

Given Input Data is 572, 776, 38, 882

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

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 38 is 2 x 19

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

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(572, 776) = 110968

GCD(572, 776) = ( 572 x 776 ) / 110968

GCD(572, 776) = 443872 / 110968

GCD(572, 776) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 38

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

LCM(4, 38) = 76

GCD(4, 38) = ( 4 x 38 ) / 76

GCD(4, 38) = 152 / 76

GCD(4, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 882

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

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

GCD(2, 882) = 1764 / 882

GCD(2, 882) = 2

GCD of 572, 776, 38, 882 is 2

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1. What is the GCD of 572, 776, 38, 882?

GCD of 572, 776, 38, 882 is 2

2. Where do I get the detailed procedure to find GCD of 572, 776, 38, 882?

You can find a detailed procedure to find GCD of 572, 776, 38, 882 on our page.

3. How to find GCD of 572, 776, 38, 882 on a calculator?

You can find the GCD of 572, 776, 38, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.