GCD of 160, 280, 12, 856 Calculator

Given Input numbers are 160, 280, 12, 856

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 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 160, 280, 12, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 280, 12, 856 is 4.

Therefore, GCD of numbers 160, 280, 12, 856 is 4

Given Input Data is 160, 280, 12, 856

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 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 856 is 2 x 2 x 2 x 107

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 280) = 1120

GCD(160, 280) = ( 160 x 280 ) / 1120

GCD(160, 280) = 44800 / 1120

GCD(160, 280) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 12

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

LCM(40, 12) = 120

GCD(40, 12) = ( 40 x 12 ) / 120

GCD(40, 12) = 480 / 120

GCD(40, 12) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 856

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

LCM(4, 856) = 856

GCD(4, 856) = ( 4 x 856 ) / 856

GCD(4, 856) = 3424 / 856

GCD(4, 856) = 4

GCD of 160, 280, 12, 856 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 187, 61, 170
• GCD of 908, 821, 33, 640
• GCD of 480, 375, 42, 448
• GCD of 904, 237, 90, 939
• GCD of 214, 939, 64, 156

1. What is the GCD of 160, 280, 12, 856?

GCD of 160, 280, 12, 856 is 4

2. Where do I get the detailed procedure to find GCD of 160, 280, 12, 856?

You can find a detailed procedure to find GCD of 160, 280, 12, 856 on our page.

3. How to find GCD of 160, 280, 12, 856 on a calculator?

You can find the GCD of 160, 280, 12, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.