GCD of 224, 230, 10, 732 Calculator

Given Input numbers are 224, 230, 10, 732

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 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Greatest Common Divisior

We found the divisors of 224, 230, 10, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 230, 10, 732 is 2.

Therefore, GCD of numbers 224, 230, 10, 732 is 2

Given Input Data is 224, 230, 10, 732

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 230 is 2 x 5 x 23

Prime Factorization of 10 is 2 x 5

Prime Factorization of 732 is 2 x 2 x 3 x 61

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, 230) = 25760

GCD(224, 230) = ( 224 x 230 ) / 25760

GCD(224, 230) = 51520 / 25760

GCD(224, 230) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 732

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

LCM(2, 732) = 732

GCD(2, 732) = ( 2 x 732 ) / 732

GCD(2, 732) = 1464 / 732

GCD(2, 732) = 2

GCD of 224, 230, 10, 732 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 624, 95, 173
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• GCD of 472, 900, 30, 387
• GCD of 349, 652, 44, 684
• GCD of 674, 403, 29, 714

1. What is the GCD of 224, 230, 10, 732?

GCD of 224, 230, 10, 732 is 2

2. Where do I get the detailed procedure to find GCD of 224, 230, 10, 732?

You can find a detailed procedure to find GCD of 224, 230, 10, 732 on our page.

3. How to find GCD of 224, 230, 10, 732 on a calculator?

You can find the GCD of 224, 230, 10, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.