GCD of 874, 224, 560 Calculator

Given Input numbers are 874, 224, 560

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

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

Greatest Common Divisior

We found the divisors of 874, 224, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 224, 560 is 2.

Therefore, GCD of numbers 874, 224, 560 is 2

Given Input Data is 874, 224, 560

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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

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(874, 224) = 97888

GCD(874, 224) = ( 874 x 224 ) / 97888

GCD(874, 224) = 195776 / 97888

GCD(874, 224) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 560

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

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

GCD(2, 560) = 1120 / 560

GCD(2, 560) = 2

GCD of 874, 224, 560 is 2

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1. What is the GCD of 874, 224, 560?

GCD of 874, 224, 560 is 2

2. Where do I get the detailed procedure to find GCD of 874, 224, 560?

You can find a detailed procedure to find GCD of 874, 224, 560 on our page.

3. How to find GCD of 874, 224, 560 on a calculator?

You can find the GCD of 874, 224, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.