GCD of 189, 617, 70, 224 Calculator

Given Input numbers are 189, 617, 70, 224

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

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 189, 617, 70, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 617, 70, 224 is 1.

Therefore, GCD of numbers 189, 617, 70, 224 is 1

Given Input Data is 189, 617, 70, 224

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 617 is 617

Prime Factorization of 70 is 2 x 5 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(189, 617) = 116613

GCD(189, 617) = ( 189 x 617 ) / 116613

GCD(189, 617) = 116613 / 116613

GCD(189, 617) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 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 189, 617, 70, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 704, 80, 843
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• GCD of 737, 642, 59, 452

1. What is the GCD of 189, 617, 70, 224?

GCD of 189, 617, 70, 224 is 1

2. Where do I get the detailed procedure to find GCD of 189, 617, 70, 224?

You can find a detailed procedure to find GCD of 189, 617, 70, 224 on our page.

3. How to find GCD of 189, 617, 70, 224 on a calculator?

You can find the GCD of 189, 617, 70, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.