GCD of 360, 892, 224 Calculator

Given Input numbers are 360, 892, 224

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

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

Greatest Common Divisior

We found the divisors of 360, 892, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 892, 224 is 4.

Therefore, GCD of numbers 360, 892, 224 is 4

Given Input Data is 360, 892, 224

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 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(360, 892) = 80280

GCD(360, 892) = ( 360 x 892 ) / 80280

GCD(360, 892) = 321120 / 80280

GCD(360, 892) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 224

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

LCM(4, 224) = 224

GCD(4, 224) = ( 4 x 224 ) / 224

GCD(4, 224) = 896 / 224

GCD(4, 224) = 4

GCD of 360, 892, 224 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 954, 647
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1. What is the GCD of 360, 892, 224?

GCD of 360, 892, 224 is 4

2. Where do I get the detailed procedure to find GCD of 360, 892, 224?

You can find a detailed procedure to find GCD of 360, 892, 224 on our page.

3. How to find GCD of 360, 892, 224 on a calculator?

You can find the GCD of 360, 892, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.