GCD of 460, 904, 852 Calculator

Given Input numbers are 460, 904, 852

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

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

Greatest Common Divisior

We found the divisors of 460, 904, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 904, 852 is 4.

Therefore, GCD of numbers 460, 904, 852 is 4

Given Input Data is 460, 904, 852

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 904 is 2 x 2 x 2 x 113

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(460, 904) = 103960

GCD(460, 904) = ( 460 x 904 ) / 103960

GCD(460, 904) = 415840 / 103960

GCD(460, 904) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 852

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

LCM(4, 852) = 852

GCD(4, 852) = ( 4 x 852 ) / 852

GCD(4, 852) = 3408 / 852

GCD(4, 852) = 4

GCD of 460, 904, 852 is 4

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1. What is the GCD of 460, 904, 852?

GCD of 460, 904, 852 is 4

2. Where do I get the detailed procedure to find GCD of 460, 904, 852?

You can find a detailed procedure to find GCD of 460, 904, 852 on our page.

3. How to find GCD of 460, 904, 852 on a calculator?

You can find the GCD of 460, 904, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.