GCD of 954, 424, 30, 489 Calculator

Given Input numbers are 954, 424, 30, 489

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 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Greatest Common Divisior

We found the divisors of 954, 424, 30, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 424, 30, 489 is 1.

Therefore, GCD of numbers 954, 424, 30, 489 is 1

Given Input Data is 954, 424, 30, 489

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 424 is 2 x 2 x 2 x 53

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 489 is 3 x 163

The above numbers do not have any common prime factor. So GCD is 1

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, 424) = 3816

GCD(954, 424) = ( 954 x 424 ) / 3816

GCD(954, 424) = 404496 / 3816

GCD(954, 424) = 106

Step2:

Here we consider the GCD from the above i.e. 106 as first number and the next as 30

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

LCM(106, 30) = 1590

GCD(106, 30) = ( 106 x 30 ) / 1590

GCD(106, 30) = 3180 / 1590

GCD(106, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 489

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

LCM(2, 489) = 978

GCD(2, 489) = ( 2 x 489 ) / 978

GCD(2, 489) = 978 / 978

GCD(2, 489) = 1

GCD of 954, 424, 30, 489 is 1

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• GCD of 649, 248, 68, 376
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• GCD of 171, 723, 43, 780
• GCD of 915, 277, 63, 896
• GCD of 108, 471, 72, 166

1. What is the GCD of 954, 424, 30, 489?

GCD of 954, 424, 30, 489 is 1

2. Where do I get the detailed procedure to find GCD of 954, 424, 30, 489?

You can find a detailed procedure to find GCD of 954, 424, 30, 489 on our page.

3. How to find GCD of 954, 424, 30, 489 on a calculator?

You can find the GCD of 954, 424, 30, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.