GCD of 744, 789, 85, 857 Calculator

Given Input numbers are 744, 789, 85, 857

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Greatest Common Divisior

We found the divisors of 744, 789, 85, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 789, 85, 857 is 1.

Therefore, GCD of numbers 744, 789, 85, 857 is 1

Given Input Data is 744, 789, 85, 857

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 789 is 3 x 263

Prime Factorization of 85 is 5 x 17

Prime Factorization of 857 is 857

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(744, 789) = 195672

GCD(744, 789) = ( 744 x 789 ) / 195672

GCD(744, 789) = 587016 / 195672

GCD(744, 789) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 85

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

LCM(3, 85) = 255

GCD(3, 85) = ( 3 x 85 ) / 255

GCD(3, 85) = 255 / 255

GCD(3, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 857

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

LCM(1, 857) = 857

GCD(1, 857) = ( 1 x 857 ) / 857

GCD(1, 857) = 857 / 857

GCD(1, 857) = 1

GCD of 744, 789, 85, 857 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 308, 890, 99, 836
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• GCD of 176, 333, 23, 271

1. What is the GCD of 744, 789, 85, 857?

GCD of 744, 789, 85, 857 is 1

2. Where do I get the detailed procedure to find GCD of 744, 789, 85, 857?

You can find a detailed procedure to find GCD of 744, 789, 85, 857 on our page.

3. How to find GCD of 744, 789, 85, 857 on a calculator?

You can find the GCD of 744, 789, 85, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.