GCD of 768, 850, 698, 319 Calculator

Given Input numbers are 768, 850, 698, 319

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 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 319

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

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 768, 850, 698, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 850, 698, 319 is 1.

Therefore, GCD of numbers 768, 850, 698, 319 is 1

Given Input Data is 768, 850, 698, 319

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 850 is 2 x 5 x 5 x 17

Prime Factorization of 698 is 2 x 349

Prime Factorization of 319 is 11 x 29

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, 850) = 326400

GCD(768, 850) = ( 768 x 850 ) / 326400

GCD(768, 850) = 652800 / 326400

GCD(768, 850) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 698

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

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

GCD(2, 698) = 1396 / 698

GCD(2, 698) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 319

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

LCM(2, 319) = 638

GCD(2, 319) = ( 2 x 319 ) / 638

GCD(2, 319) = 638 / 638

GCD(2, 319) = 1

GCD of 768, 850, 698, 319 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 874, 839, 741
• GCD of 647, 500, 100, 130
• GCD of 306, 277, 611, 508
• GCD of 165, 107, 114, 924
• GCD of 473, 659, 391, 351

1. What is the GCD of 768, 850, 698, 319?

GCD of 768, 850, 698, 319 is 1

2. Where do I get the detailed procedure to find GCD of 768, 850, 698, 319?

You can find a detailed procedure to find GCD of 768, 850, 698, 319 on our page.

3. How to find GCD of 768, 850, 698, 319 on a calculator?

You can find the GCD of 768, 850, 698, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.