GCD of 822, 509, 96, 277 Calculator

Given Input numbers are 822, 509, 96, 277

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 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Greatest Common Divisior

We found the divisors of 822, 509, 96, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 509, 96, 277 is 1.

Therefore, GCD of numbers 822, 509, 96, 277 is 1

Given Input Data is 822, 509, 96, 277

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 509 is 509

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 277 is 277

The above numbers do not have any common prime factor. So GCD is 1

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, 509) = 418398

GCD(822, 509) = ( 822 x 509 ) / 418398

GCD(822, 509) = 418398 / 418398

GCD(822, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 277

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

LCM(1, 277) = 277

GCD(1, 277) = ( 1 x 277 ) / 277

GCD(1, 277) = 277 / 277

GCD(1, 277) = 1

GCD of 822, 509, 96, 277 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 820, 21, 945
• GCD of 337, 739, 62, 875
• GCD of 412, 492, 45, 163
• GCD of 564, 591, 41, 409
• GCD of 744, 111, 84, 876

1. What is the GCD of 822, 509, 96, 277?

GCD of 822, 509, 96, 277 is 1

2. Where do I get the detailed procedure to find GCD of 822, 509, 96, 277?

You can find a detailed procedure to find GCD of 822, 509, 96, 277 on our page.

3. How to find GCD of 822, 509, 96, 277 on a calculator?

You can find the GCD of 822, 509, 96, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.