GCD of 172, 109, 784, 799 Calculator

Given Input numbers are 172, 109, 784, 799

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

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 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Greatest Common Divisior

We found the divisors of 172, 109, 784, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 109, 784, 799 is 1.

Therefore, GCD of numbers 172, 109, 784, 799 is 1

Given Input Data is 172, 109, 784, 799

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 109 is 109

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

Prime Factorization of 799 is 17 x 47

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(172, 109) = 18748

GCD(172, 109) = ( 172 x 109 ) / 18748

GCD(172, 109) = 18748 / 18748

GCD(172, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 799

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

LCM(1, 799) = 799

GCD(1, 799) = ( 1 x 799 ) / 799

GCD(1, 799) = 799 / 799

GCD(1, 799) = 1

GCD of 172, 109, 784, 799 is 1

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1. What is the GCD of 172, 109, 784, 799?

GCD of 172, 109, 784, 799 is 1

2. Where do I get the detailed procedure to find GCD of 172, 109, 784, 799?

You can find a detailed procedure to find GCD of 172, 109, 784, 799 on our page.

3. How to find GCD of 172, 109, 784, 799 on a calculator?

You can find the GCD of 172, 109, 784, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.