GCD of 852, 431, 54, 882 Calculator

Given Input numbers are 852, 431, 54, 882

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

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 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Greatest Common Divisior

We found the divisors of 852, 431, 54, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 431, 54, 882 is 1.

Therefore, GCD of numbers 852, 431, 54, 882 is 1

Given Input Data is 852, 431, 54, 882

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 431 is 431

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

Prime Factorization of 882 is 2 x 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(852, 431) = 367212

GCD(852, 431) = ( 852 x 431 ) / 367212

GCD(852, 431) = 367212 / 367212

GCD(852, 431) = 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 882

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

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

GCD(1, 882) = 882 / 882

GCD(1, 882) = 1

GCD of 852, 431, 54, 882 is 1

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1. What is the GCD of 852, 431, 54, 882?

GCD of 852, 431, 54, 882 is 1

2. Where do I get the detailed procedure to find GCD of 852, 431, 54, 882?

You can find a detailed procedure to find GCD of 852, 431, 54, 882 on our page.

3. How to find GCD of 852, 431, 54, 882 on a calculator?

You can find the GCD of 852, 431, 54, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.