GCD of 784, 302, 98, 173 Calculator

Given Input numbers are 784, 302, 98, 173

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

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Greatest Common Divisior

We found the divisors of 784, 302, 98, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 302, 98, 173 is 1.

Therefore, GCD of numbers 784, 302, 98, 173 is 1

Given Input Data is 784, 302, 98, 173

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 302 is 2 x 151

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 173 is 173

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(784, 302) = 118384

GCD(784, 302) = ( 784 x 302 ) / 118384

GCD(784, 302) = 236768 / 118384

GCD(784, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 173

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

LCM(2, 173) = 346

GCD(2, 173) = ( 2 x 173 ) / 346

GCD(2, 173) = 346 / 346

GCD(2, 173) = 1

GCD of 784, 302, 98, 173 is 1

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1. What is the GCD of 784, 302, 98, 173?

GCD of 784, 302, 98, 173 is 1

2. Where do I get the detailed procedure to find GCD of 784, 302, 98, 173?

You can find a detailed procedure to find GCD of 784, 302, 98, 173 on our page.

3. How to find GCD of 784, 302, 98, 173 on a calculator?

You can find the GCD of 784, 302, 98, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.