GCD of 954, 784, 558, 438 Calculator

Given Input numbers are 954, 784, 558, 438

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 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 954, 784, 558, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 784, 558, 438 is 2.

Therefore, GCD of numbers 954, 784, 558, 438 is 2

Given Input Data is 954, 784, 558, 438

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 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 438 is 2 x 3 x 73

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(954, 784) = 373968

GCD(954, 784) = ( 954 x 784 ) / 373968

GCD(954, 784) = 747936 / 373968

GCD(954, 784) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 558

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

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

GCD(2, 558) = 1116 / 558

GCD(2, 558) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 438

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

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

GCD(2, 438) = 876 / 438

GCD(2, 438) = 2

GCD of 954, 784, 558, 438 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 604, 887, 478
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• GCD of 477, 842, 922, 741

1. What is the GCD of 954, 784, 558, 438?

GCD of 954, 784, 558, 438 is 2

2. Where do I get the detailed procedure to find GCD of 954, 784, 558, 438?

You can find a detailed procedure to find GCD of 954, 784, 558, 438 on our page.

3. How to find GCD of 954, 784, 558, 438 on a calculator?

You can find the GCD of 954, 784, 558, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.