GCD of 768, 857, 319, 771 Calculator

Given Input numbers are 768, 857, 319, 771

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

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 857

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

1, 857

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 768, 857, 319, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 857, 319, 771 is 1.

Therefore, GCD of numbers 768, 857, 319, 771 is 1

Given Input Data is 768, 857, 319, 771

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

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 857 is 857

Prime Factorization of 319 is 11 x 29

Prime Factorization of 771 is 3 x 257

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(768, 857) = 658176

GCD(768, 857) = ( 768 x 857 ) / 658176

GCD(768, 857) = 658176 / 658176

GCD(768, 857) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 319

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

LCM(1, 319) = 319

GCD(1, 319) = ( 1 x 319 ) / 319

GCD(1, 319) = 319 / 319

GCD(1, 319) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

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

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 1

GCD of 768, 857, 319, 771 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 559, 495, 321, 328
• GCD of 534, 137, 568, 583
• GCD of 657, 598, 564, 359
• GCD of 152, 918, 893, 344
• GCD of 617, 101, 488, 694

1. What is the GCD of 768, 857, 319, 771?

GCD of 768, 857, 319, 771 is 1

2. Where do I get the detailed procedure to find GCD of 768, 857, 319, 771?

You can find a detailed procedure to find GCD of 768, 857, 319, 771 on our page.

3. How to find GCD of 768, 857, 319, 771 on a calculator?

You can find the GCD of 768, 857, 319, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.