GCD of 954, 894, 504 Calculator

Given Input numbers are 954, 894, 504

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

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 954, 894, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 894, 504 is 6.

Therefore, GCD of numbers 954, 894, 504 is 6

Given Input Data is 954, 894, 504

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

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(954, 894) = 142146

GCD(954, 894) = ( 954 x 894 ) / 142146

GCD(954, 894) = 852876 / 142146

GCD(954, 894) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 504

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

LCM(6, 504) = 504

GCD(6, 504) = ( 6 x 504 ) / 504

GCD(6, 504) = 3024 / 504

GCD(6, 504) = 6

GCD of 954, 894, 504 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 513, 655, 632
• GCD of 564, 181, 583
• GCD of 502, 330, 578
• GCD of 828, 555, 650
• GCD of 743, 176, 308

1. What is the GCD of 954, 894, 504?

GCD of 954, 894, 504 is 6

2. Where do I get the detailed procedure to find GCD of 954, 894, 504?

You can find a detailed procedure to find GCD of 954, 894, 504 on our page.

3. How to find GCD of 954, 894, 504 on a calculator?

You can find the GCD of 954, 894, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.