GCD of 872, 240, 20, 336 Calculator

Given Input numbers are 872, 240, 20, 336

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Greatest Common Divisior

We found the divisors of 872, 240, 20, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 240, 20, 336 is 4.

Therefore, GCD of numbers 872, 240, 20, 336 is 4

Given Input Data is 872, 240, 20, 336

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

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(872, 240) = 26160

GCD(872, 240) = ( 872 x 240 ) / 26160

GCD(872, 240) = 209280 / 26160

GCD(872, 240) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 20

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

LCM(8, 20) = 40

GCD(8, 20) = ( 8 x 20 ) / 40

GCD(8, 20) = 160 / 40

GCD(8, 20) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 336

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

LCM(4, 336) = 336

GCD(4, 336) = ( 4 x 336 ) / 336

GCD(4, 336) = 1344 / 336

GCD(4, 336) = 4

GCD of 872, 240, 20, 336 is 4

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• GCD of 925, 188, 33, 543
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1. What is the GCD of 872, 240, 20, 336?

GCD of 872, 240, 20, 336 is 4

2. Where do I get the detailed procedure to find GCD of 872, 240, 20, 336?

You can find a detailed procedure to find GCD of 872, 240, 20, 336 on our page.

3. How to find GCD of 872, 240, 20, 336 on a calculator?

You can find the GCD of 872, 240, 20, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.