GCD of 852, 795, 54, 457 Calculator

Given Input numbers are 852, 795, 54, 457

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 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

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 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 852, 795, 54, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 795, 54, 457 is 1.

Therefore, GCD of numbers 852, 795, 54, 457 is 1

Given Input Data is 852, 795, 54, 457

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 795 is 3 x 5 x 53

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

Prime Factorization of 457 is 457

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, 795) = 225780

GCD(852, 795) = ( 852 x 795 ) / 225780

GCD(852, 795) = 677340 / 225780

GCD(852, 795) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 54

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

LCM(3, 54) = 54

GCD(3, 54) = ( 3 x 54 ) / 54

GCD(3, 54) = 162 / 54

GCD(3, 54) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 457

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

LCM(3, 457) = 1371

GCD(3, 457) = ( 3 x 457 ) / 1371

GCD(3, 457) = 1371 / 1371

GCD(3, 457) = 1

GCD of 852, 795, 54, 457 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 458, 81, 859
• GCD of 501, 334, 77, 952
• GCD of 413, 980, 14, 883
• GCD of 692, 845, 77, 455
• GCD of 460, 460, 41, 657

1. What is the GCD of 852, 795, 54, 457?

GCD of 852, 795, 54, 457 is 1

2. Where do I get the detailed procedure to find GCD of 852, 795, 54, 457?

You can find a detailed procedure to find GCD of 852, 795, 54, 457 on our page.

3. How to find GCD of 852, 795, 54, 457 on a calculator?

You can find the GCD of 852, 795, 54, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.