GCD of 224, 963, 83, 174 Calculator

Given Input numbers are 224, 963, 83, 174

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 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Greatest Common Divisior

We found the divisors of 224, 963, 83, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 963, 83, 174 is 1.

Therefore, GCD of numbers 224, 963, 83, 174 is 1

Given Input Data is 224, 963, 83, 174

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 963 is 3 x 3 x 107

Prime Factorization of 83 is 83

Prime Factorization of 174 is 2 x 3 x 29

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, 963) = 215712

GCD(224, 963) = ( 224 x 963 ) / 215712

GCD(224, 963) = 215712 / 215712

GCD(224, 963) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

GCD of 224, 963, 83, 174 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 303, 318, 54, 711
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• GCD of 371, 618, 32, 505
• GCD of 351, 110, 36, 127
• GCD of 447, 220, 67, 817

1. What is the GCD of 224, 963, 83, 174?

GCD of 224, 963, 83, 174 is 1

2. Where do I get the detailed procedure to find GCD of 224, 963, 83, 174?

You can find a detailed procedure to find GCD of 224, 963, 83, 174 on our page.

3. How to find GCD of 224, 963, 83, 174 on a calculator?

You can find the GCD of 224, 963, 83, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.