GCD of 560, 920, 22, 184 Calculator

Given Input numbers are 560, 920, 22, 184

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Greatest Common Divisior

We found the divisors of 560, 920, 22, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 920, 22, 184 is 2.

Therefore, GCD of numbers 560, 920, 22, 184 is 2

Given Input Data is 560, 920, 22, 184

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 22 is 2 x 11

Prime Factorization of 184 is 2 x 2 x 2 x 23

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(560, 920) = 12880

GCD(560, 920) = ( 560 x 920 ) / 12880

GCD(560, 920) = 515200 / 12880

GCD(560, 920) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 22

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

LCM(40, 22) = 440

GCD(40, 22) = ( 40 x 22 ) / 440

GCD(40, 22) = 880 / 440

GCD(40, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 184

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

LCM(2, 184) = 184

GCD(2, 184) = ( 2 x 184 ) / 184

GCD(2, 184) = 368 / 184

GCD(2, 184) = 2

GCD of 560, 920, 22, 184 is 2

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1. What is the GCD of 560, 920, 22, 184?

GCD of 560, 920, 22, 184 is 2

2. Where do I get the detailed procedure to find GCD of 560, 920, 22, 184?

You can find a detailed procedure to find GCD of 560, 920, 22, 184 on our page.

3. How to find GCD of 560, 920, 22, 184 on a calculator?

You can find the GCD of 560, 920, 22, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.