GCD of 704, 686, 72, 826 Calculator

Given Input numbers are 704, 686, 72, 826

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Greatest Common Divisior

We found the divisors of 704, 686, 72, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 686, 72, 826 is 2.

Therefore, GCD of numbers 704, 686, 72, 826 is 2

Given Input Data is 704, 686, 72, 826

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 826 is 2 x 7 x 59

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(704, 686) = 241472

GCD(704, 686) = ( 704 x 686 ) / 241472

GCD(704, 686) = 482944 / 241472

GCD(704, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 826

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

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

GCD(2, 826) = 1652 / 826

GCD(2, 826) = 2

GCD of 704, 686, 72, 826 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 955, 36, 134
• GCD of 400, 921, 77, 619
• GCD of 437, 938, 77, 328
• GCD of 324, 922, 22, 218
• GCD of 368, 328, 73, 721

1. What is the GCD of 704, 686, 72, 826?

GCD of 704, 686, 72, 826 is 2

2. Where do I get the detailed procedure to find GCD of 704, 686, 72, 826?

You can find a detailed procedure to find GCD of 704, 686, 72, 826 on our page.

3. How to find GCD of 704, 686, 72, 826 on a calculator?

You can find the GCD of 704, 686, 72, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.