GCD of 846, 489, 38, 480 Calculator

Given Input numbers are 846, 489, 38, 480

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

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 489

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

1, 3, 163, 489

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

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

Greatest Common Divisior

We found the divisors of 846, 489, 38, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 846, 489, 38, 480 is 1.

Therefore, GCD of numbers 846, 489, 38, 480 is 1

Given Input Data is 846, 489, 38, 480

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

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 489 is 3 x 163

Prime Factorization of 38 is 2 x 19

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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(846, 489) = 137898

GCD(846, 489) = ( 846 x 489 ) / 137898

GCD(846, 489) = 413694 / 137898

GCD(846, 489) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 38

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

LCM(3, 38) = 114

GCD(3, 38) = ( 3 x 38 ) / 114

GCD(3, 38) = 114 / 114

GCD(3, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 846, 489, 38, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 160, 28, 820
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• GCD of 252, 688, 19, 314
• GCD of 549, 398, 32, 995
• GCD of 453, 343, 91, 914

1. What is the GCD of 846, 489, 38, 480?

GCD of 846, 489, 38, 480 is 1

2. Where do I get the detailed procedure to find GCD of 846, 489, 38, 480?

You can find a detailed procedure to find GCD of 846, 489, 38, 480 on our page.

3. How to find GCD of 846, 489, 38, 480 on a calculator?

You can find the GCD of 846, 489, 38, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.