GCD of 853, 264, 54, 828 Calculator

Given Input numbers are 853, 264, 54, 828

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

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

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

Greatest Common Divisior

We found the divisors of 853, 264, 54, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 264, 54, 828 is 1.

Therefore, GCD of numbers 853, 264, 54, 828 is 1

Given Input Data is 853, 264, 54, 828

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

Prime Factorization of 853 is 853

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 54 is 2 x 3 x 3 x 3

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

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(853, 264) = 225192

GCD(853, 264) = ( 853 x 264 ) / 225192

GCD(853, 264) = 225192 / 225192

GCD(853, 264) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 853, 264, 54, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 750, 93, 520
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1. What is the GCD of 853, 264, 54, 828?

GCD of 853, 264, 54, 828 is 1

2. Where do I get the detailed procedure to find GCD of 853, 264, 54, 828?

You can find a detailed procedure to find GCD of 853, 264, 54, 828 on our page.

3. How to find GCD of 853, 264, 54, 828 on a calculator?

You can find the GCD of 853, 264, 54, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.