GCD of 984, 822, 76, 688 Calculator

Given Input numbers are 984, 822, 76, 688

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 76

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

1, 2, 4, 19, 38, 76

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 984, 822, 76, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 822, 76, 688 is 2.

Therefore, GCD of numbers 984, 822, 76, 688 is 2

Given Input Data is 984, 822, 76, 688

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(984, 822) = 134808

GCD(984, 822) = ( 984 x 822 ) / 134808

GCD(984, 822) = 808848 / 134808

GCD(984, 822) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 76

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

LCM(6, 76) = 228

GCD(6, 76) = ( 6 x 76 ) / 228

GCD(6, 76) = 456 / 228

GCD(6, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 688

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

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

GCD(2, 688) = 1376 / 688

GCD(2, 688) = 2

GCD of 984, 822, 76, 688 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 289, 927, 48, 755
• GCD of 542, 579, 70, 490
• GCD of 135, 818, 64, 670
• GCD of 724, 554, 59, 447
• GCD of 192, 750, 66, 629

1. What is the GCD of 984, 822, 76, 688?

GCD of 984, 822, 76, 688 is 2

2. Where do I get the detailed procedure to find GCD of 984, 822, 76, 688?

You can find a detailed procedure to find GCD of 984, 822, 76, 688 on our page.

3. How to find GCD of 984, 822, 76, 688 on a calculator?

You can find the GCD of 984, 822, 76, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.