GCD of 822, 276, 662, 964 Calculator

Given Input numbers are 822, 276, 662, 964

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

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 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 662

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

1, 2, 331, 662

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 822, 276, 662, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 276, 662, 964 is 2.

Therefore, GCD of numbers 822, 276, 662, 964 is 2

Given Input Data is 822, 276, 662, 964

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 662 is 2 x 331

Prime Factorization of 964 is 2 x 2 x 241

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(822, 276) = 37812

GCD(822, 276) = ( 822 x 276 ) / 37812

GCD(822, 276) = 226872 / 37812

GCD(822, 276) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 662

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

LCM(6, 662) = 1986

GCD(6, 662) = ( 6 x 662 ) / 1986

GCD(6, 662) = 3972 / 1986

GCD(6, 662) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 964

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

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

GCD(2, 964) = 1928 / 964

GCD(2, 964) = 2

GCD of 822, 276, 662, 964 is 2

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1. What is the GCD of 822, 276, 662, 964?

GCD of 822, 276, 662, 964 is 2

2. Where do I get the detailed procedure to find GCD of 822, 276, 662, 964?

You can find a detailed procedure to find GCD of 822, 276, 662, 964 on our page.

3. How to find GCD of 822, 276, 662, 964 on a calculator?

You can find the GCD of 822, 276, 662, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.