GCD of 828, 237, 76, 441 Calculator

Given Input numbers are 828, 237, 76, 441

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 76

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

1, 2, 4, 19, 38, 76

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 828, 237, 76, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 237, 76, 441 is 1.

Therefore, GCD of numbers 828, 237, 76, 441 is 1

Given Input Data is 828, 237, 76, 441

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 237 is 3 x 79

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 441 is 3 x 3 x 7 x 7

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(828, 237) = 65412

GCD(828, 237) = ( 828 x 237 ) / 65412

GCD(828, 237) = 196236 / 65412

GCD(828, 237) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 76

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

LCM(3, 76) = 228

GCD(3, 76) = ( 3 x 76 ) / 228

GCD(3, 76) = 228 / 228

GCD(3, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 441

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

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

GCD(1, 441) = 441 / 441

GCD(1, 441) = 1

GCD of 828, 237, 76, 441 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 583, 440, 96, 496
• GCD of 512, 117, 87, 964
• GCD of 960, 266, 87, 904
• GCD of 530, 755, 67, 498
• GCD of 496, 701, 68, 344

1. What is the GCD of 828, 237, 76, 441?

GCD of 828, 237, 76, 441 is 1

2. Where do I get the detailed procedure to find GCD of 828, 237, 76, 441?

You can find a detailed procedure to find GCD of 828, 237, 76, 441 on our page.

3. How to find GCD of 828, 237, 76, 441 on a calculator?

You can find the GCD of 828, 237, 76, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.