GCD of 160, 480, 30, 854 Calculator

Given Input numbers are 160, 480, 30, 854

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

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

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

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 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 160, 480, 30, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 480, 30, 854 is 2.

Therefore, GCD of numbers 160, 480, 30, 854 is 2

Given Input Data is 160, 480, 30, 854

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

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 854 is 2 x 7 x 61

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(160, 480) = 480

GCD(160, 480) = ( 160 x 480 ) / 480

GCD(160, 480) = 76800 / 480

GCD(160, 480) = 160

Step2:

Here we consider the GCD from the above i.e. 160 as first number and the next as 30

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

LCM(160, 30) = 480

GCD(160, 30) = ( 160 x 30 ) / 480

GCD(160, 30) = 4800 / 480

GCD(160, 30) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 854

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

LCM(10, 854) = 4270

GCD(10, 854) = ( 10 x 854 ) / 4270

GCD(10, 854) = 8540 / 4270

GCD(10, 854) = 2

GCD of 160, 480, 30, 854 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 848, 816, 73, 345
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• GCD of 834, 377, 68, 337

1. What is the GCD of 160, 480, 30, 854?

GCD of 160, 480, 30, 854 is 2

2. Where do I get the detailed procedure to find GCD of 160, 480, 30, 854?

You can find a detailed procedure to find GCD of 160, 480, 30, 854 on our page.

3. How to find GCD of 160, 480, 30, 854 on a calculator?

You can find the GCD of 160, 480, 30, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.