GCD of 562, 147, 603, 224 Calculator

Given Input numbers are 562, 147, 603, 224

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

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

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 562, 147, 603, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 147, 603, 224 is 1.

Therefore, GCD of numbers 562, 147, 603, 224 is 1

Given Input Data is 562, 147, 603, 224

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

Prime Factorization of 562 is 2 x 281

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 603 is 3 x 3 x 67

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(562, 147) = 82614

GCD(562, 147) = ( 562 x 147 ) / 82614

GCD(562, 147) = 82614 / 82614

GCD(562, 147) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 603

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

LCM(1, 603) = 603

GCD(1, 603) = ( 1 x 603 ) / 603

GCD(1, 603) = 603 / 603

GCD(1, 603) = 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 562, 147, 603, 224 is 1

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1. What is the GCD of 562, 147, 603, 224?

GCD of 562, 147, 603, 224 is 1

2. Where do I get the detailed procedure to find GCD of 562, 147, 603, 224?

You can find a detailed procedure to find GCD of 562, 147, 603, 224 on our page.

3. How to find GCD of 562, 147, 603, 224 on a calculator?

You can find the GCD of 562, 147, 603, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.