GCD of 224, 674, 10 Calculator

Given Input numbers are 224, 674, 10

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 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 10

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

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 224, 674, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 674, 10 is 2.

Therefore, GCD of numbers 224, 674, 10 is 2

Given Input Data is 224, 674, 10

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 674 is 2 x 337

Prime Factorization of 10 is 2 x 5

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, 674) = 75488

GCD(224, 674) = ( 224 x 674 ) / 75488

GCD(224, 674) = 150976 / 75488

GCD(224, 674) = 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

GCD of 224, 674, 10 is 2

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1. What is the GCD of 224, 674, 10?

GCD of 224, 674, 10 is 2

2. Where do I get the detailed procedure to find GCD of 224, 674, 10?

You can find a detailed procedure to find GCD of 224, 674, 10 on our page.

3. How to find GCD of 224, 674, 10 on a calculator?

You can find the GCD of 224, 674, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.