GCD of 904, 852, 54, 960 Calculator

Given Input numbers are 904, 852, 54, 960

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

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

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 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 904, 852, 54, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 852, 54, 960 is 2.

Therefore, GCD of numbers 904, 852, 54, 960 is 2

Given Input Data is 904, 852, 54, 960

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

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

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

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(904, 852) = 192552

GCD(904, 852) = ( 904 x 852 ) / 192552

GCD(904, 852) = 770208 / 192552

GCD(904, 852) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 54

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

LCM(4, 54) = 108

GCD(4, 54) = ( 4 x 54 ) / 108

GCD(4, 54) = 216 / 108

GCD(4, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 960

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

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

GCD(2, 960) = 1920 / 960

GCD(2, 960) = 2

GCD of 904, 852, 54, 960 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 925, 68, 807
• GCD of 757, 932, 37, 705
• GCD of 632, 889, 15, 667
• GCD of 851, 151, 56, 855
• GCD of 217, 673, 27, 578

1. What is the GCD of 904, 852, 54, 960?

GCD of 904, 852, 54, 960 is 2

2. Where do I get the detailed procedure to find GCD of 904, 852, 54, 960?

You can find a detailed procedure to find GCD of 904, 852, 54, 960 on our page.

3. How to find GCD of 904, 852, 54, 960 on a calculator?

You can find the GCD of 904, 852, 54, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.