GCD of 828, 872, 632, 273 Calculator

Given Input numbers are 828, 872, 632, 273

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 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 828, 872, 632, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 872, 632, 273 is 1.

Therefore, GCD of numbers 828, 872, 632, 273 is 1

Given Input Data is 828, 872, 632, 273

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 872 is 2 x 2 x 2 x 109

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 273 is 3 x 7 x 13

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, 872) = 180504

GCD(828, 872) = ( 828 x 872 ) / 180504

GCD(828, 872) = 722016 / 180504

GCD(828, 872) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 632

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

LCM(4, 632) = 632

GCD(4, 632) = ( 4 x 632 ) / 632

GCD(4, 632) = 2528 / 632

GCD(4, 632) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 273

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

LCM(4, 273) = 1092

GCD(4, 273) = ( 4 x 273 ) / 1092

GCD(4, 273) = 1092 / 1092

GCD(4, 273) = 1

GCD of 828, 872, 632, 273 is 1

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1. What is the GCD of 828, 872, 632, 273?

GCD of 828, 872, 632, 273 is 1

2. Where do I get the detailed procedure to find GCD of 828, 872, 632, 273?

You can find a detailed procedure to find GCD of 828, 872, 632, 273 on our page.

3. How to find GCD of 828, 872, 632, 273 on a calculator?

You can find the GCD of 828, 872, 632, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.