GCD of 787, 173, 208, 742 Calculator

Given Input numbers are 787, 173, 208, 742

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

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Divisors of 173

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

1, 173

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 787, 173, 208, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 787, 173, 208, 742 is 1.

Therefore, GCD of numbers 787, 173, 208, 742 is 1

Given Input Data is 787, 173, 208, 742

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

Prime Factorization of 787 is 787

Prime Factorization of 173 is 173

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 742 is 2 x 7 x 53

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(787, 173) = 136151

GCD(787, 173) = ( 787 x 173 ) / 136151

GCD(787, 173) = 136151 / 136151

GCD(787, 173) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 787, 173, 208, 742 is 1

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1. What is the GCD of 787, 173, 208, 742?

GCD of 787, 173, 208, 742 is 1

2. Where do I get the detailed procedure to find GCD of 787, 173, 208, 742?

You can find a detailed procedure to find GCD of 787, 173, 208, 742 on our page.

3. How to find GCD of 787, 173, 208, 742 on a calculator?

You can find the GCD of 787, 173, 208, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.