GCD of 674, 501, 42, 224 Calculator

Given Input numbers are 674, 501, 42, 224

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

Divisors of 674

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

1, 2, 337, 674

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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 674, 501, 42, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 501, 42, 224 is 1.

Therefore, GCD of numbers 674, 501, 42, 224 is 1

Given Input Data is 674, 501, 42, 224

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 501 is 3 x 167

Prime Factorization of 42 is 2 x 3 x 7

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

The above numbers do not have any common prime factor. So GCD is 1

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(674, 501) = 337674

GCD(674, 501) = ( 674 x 501 ) / 337674

GCD(674, 501) = 337674 / 337674

GCD(674, 501) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 674, 501, 42, 224 is 1

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1. What is the GCD of 674, 501, 42, 224?

GCD of 674, 501, 42, 224 is 1

2. Where do I get the detailed procedure to find GCD of 674, 501, 42, 224?

You can find a detailed procedure to find GCD of 674, 501, 42, 224 on our page.

3. How to find GCD of 674, 501, 42, 224 on a calculator?

You can find the GCD of 674, 501, 42, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.