GCD of 996, 860, 662, 564 Calculator

Given Input numbers are 996, 860, 662, 564

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 996, 860, 662, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 860, 662, 564 is 2.

Therefore, GCD of numbers 996, 860, 662, 564 is 2

Given Input Data is 996, 860, 662, 564

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 662 is 2 x 331

Prime Factorization of 564 is 2 x 2 x 3 x 47

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(996, 860) = 214140

GCD(996, 860) = ( 996 x 860 ) / 214140

GCD(996, 860) = 856560 / 214140

GCD(996, 860) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 662

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

LCM(4, 662) = 1324

GCD(4, 662) = ( 4 x 662 ) / 1324

GCD(4, 662) = 2648 / 1324

GCD(4, 662) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 564

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

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

GCD(2, 564) = 1128 / 564

GCD(2, 564) = 2

GCD of 996, 860, 662, 564 is 2

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1. What is the GCD of 996, 860, 662, 564?

GCD of 996, 860, 662, 564 is 2

2. Where do I get the detailed procedure to find GCD of 996, 860, 662, 564?

You can find a detailed procedure to find GCD of 996, 860, 662, 564 on our page.

3. How to find GCD of 996, 860, 662, 564 on a calculator?

You can find the GCD of 996, 860, 662, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.