GCD of 224, 368, 882 Calculator

Given Input numbers are 224, 368, 882

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

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 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Greatest Common Divisior

We found the divisors of 224, 368, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 368, 882 is 2.

Therefore, GCD of numbers 224, 368, 882 is 2

Given Input Data is 224, 368, 882

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

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 882 is 2 x 3 x 3 x 7 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(224, 368) = 5152

GCD(224, 368) = ( 224 x 368 ) / 5152

GCD(224, 368) = 82432 / 5152

GCD(224, 368) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 882

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

LCM(16, 882) = 7056

GCD(16, 882) = ( 16 x 882 ) / 7056

GCD(16, 882) = 14112 / 7056

GCD(16, 882) = 2

GCD of 224, 368, 882 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 835, 857, 293
• GCD of 821, 990, 992
• GCD of 186, 956, 837
• GCD of 246, 781, 738
• GCD of 800, 247, 787

1. What is the GCD of 224, 368, 882?

GCD of 224, 368, 882 is 2

2. Where do I get the detailed procedure to find GCD of 224, 368, 882?

You can find a detailed procedure to find GCD of 224, 368, 882 on our page.

3. How to find GCD of 224, 368, 882 on a calculator?

You can find the GCD of 224, 368, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.