GCD of 664, 788, 76, 282 Calculator

Given Input numbers are 664, 788, 76, 282

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

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 788

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

1, 2, 4, 197, 394, 788

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 664, 788, 76, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 788, 76, 282 is 2.

Therefore, GCD of numbers 664, 788, 76, 282 is 2

Given Input Data is 664, 788, 76, 282

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 282 is 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(664, 788) = 130808

GCD(664, 788) = ( 664 x 788 ) / 130808

GCD(664, 788) = 523232 / 130808

GCD(664, 788) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 76

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

LCM(4, 76) = 76

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

GCD(4, 76) = 304 / 76

GCD(4, 76) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 282

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

LCM(4, 282) = 564

GCD(4, 282) = ( 4 x 282 ) / 564

GCD(4, 282) = 1128 / 564

GCD(4, 282) = 2

GCD of 664, 788, 76, 282 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 694, 60, 540
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• GCD of 231, 576, 25, 490
• GCD of 329, 580, 91, 155

1. What is the GCD of 664, 788, 76, 282?

GCD of 664, 788, 76, 282 is 2

2. Where do I get the detailed procedure to find GCD of 664, 788, 76, 282?

You can find a detailed procedure to find GCD of 664, 788, 76, 282 on our page.

3. How to find GCD of 664, 788, 76, 282 on a calculator?

You can find the GCD of 664, 788, 76, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.