GCD of 18, 954, 774, 528 Calculator

Given Input numbers are 18, 954, 774, 528

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 18, 954, 774, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 954, 774, 528 is 6.

Therefore, GCD of numbers 18, 954, 774, 528 is 6

Given Input Data is 18, 954, 774, 528

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

Prime Factorization of 18 is 2 x 3 x 3

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

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

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(18, 954) = 954

GCD(18, 954) = ( 18 x 954 ) / 954

GCD(18, 954) = 17172 / 954

GCD(18, 954) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 774

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

LCM(18, 774) = 774

GCD(18, 774) = ( 18 x 774 ) / 774

GCD(18, 774) = 13932 / 774

GCD(18, 774) = 18

Step3:

Here we consider the GCD from the above i.e. 18 as first number and the next as 528

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

LCM(18, 528) = 1584

GCD(18, 528) = ( 18 x 528 ) / 1584

GCD(18, 528) = 9504 / 1584

GCD(18, 528) = 6

GCD of 18, 954, 774, 528 is 6

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1. What is the GCD of 18, 954, 774, 528?

GCD of 18, 954, 774, 528 is 6

2. Where do I get the detailed procedure to find GCD of 18, 954, 774, 528?

You can find a detailed procedure to find GCD of 18, 954, 774, 528 on our page.

3. How to find GCD of 18, 954, 774, 528 on a calculator?

You can find the GCD of 18, 954, 774, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.