GCD of 722, 686, 290, 864 Calculator

Given Input numbers are 722, 686, 290, 864

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 722, 686, 290, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 686, 290, 864 is 2.

Therefore, GCD of numbers 722, 686, 290, 864 is 2

Given Input Data is 722, 686, 290, 864

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(722, 686) = 247646

GCD(722, 686) = ( 722 x 686 ) / 247646

GCD(722, 686) = 495292 / 247646

GCD(722, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 290

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

LCM(2, 290) = 290

GCD(2, 290) = ( 2 x 290 ) / 290

GCD(2, 290) = 580 / 290

GCD(2, 290) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 864

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

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

GCD(2, 864) = 1728 / 864

GCD(2, 864) = 2

GCD of 722, 686, 290, 864 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 339, 897, 595
• GCD of 663, 155, 751, 980
• GCD of 290, 632, 862, 787
• GCD of 973, 768, 194, 167
• GCD of 986, 724, 952, 340

1. What is the GCD of 722, 686, 290, 864?

GCD of 722, 686, 290, 864 is 2

2. Where do I get the detailed procedure to find GCD of 722, 686, 290, 864?

You can find a detailed procedure to find GCD of 722, 686, 290, 864 on our page.

3. How to find GCD of 722, 686, 290, 864 on a calculator?

You can find the GCD of 722, 686, 290, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.