GCD of 224, 607, 48, 998 Calculator

Given Input numbers are 224, 607, 48, 998

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 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 224, 607, 48, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 607, 48, 998 is 1.

Therefore, GCD of numbers 224, 607, 48, 998 is 1

Given Input Data is 224, 607, 48, 998

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 607 is 607

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 998 is 2 x 499

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(224, 607) = 135968

GCD(224, 607) = ( 224 x 607 ) / 135968

GCD(224, 607) = 135968 / 135968

GCD(224, 607) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 224, 607, 48, 998 is 1

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1. What is the GCD of 224, 607, 48, 998?

GCD of 224, 607, 48, 998 is 1

2. Where do I get the detailed procedure to find GCD of 224, 607, 48, 998?

You can find a detailed procedure to find GCD of 224, 607, 48, 998 on our page.

3. How to find GCD of 224, 607, 48, 998 on a calculator?

You can find the GCD of 224, 607, 48, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.