GCD of 826, 712, 725, 849 Calculator

Given Input numbers are 826, 712, 725, 849

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

Divisors of 826

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

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 826, 712, 725, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 712, 725, 849 is 1.

Therefore, GCD of numbers 826, 712, 725, 849 is 1

Given Input Data is 826, 712, 725, 849

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

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 849 is 3 x 283

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(826, 712) = 294056

GCD(826, 712) = ( 826 x 712 ) / 294056

GCD(826, 712) = 588112 / 294056

GCD(826, 712) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 725

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

LCM(2, 725) = 1450

GCD(2, 725) = ( 2 x 725 ) / 1450

GCD(2, 725) = 1450 / 1450

GCD(2, 725) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 826, 712, 725, 849 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 134, 897, 796, 256
• GCD of 325, 897, 854, 402
• GCD of 652, 365, 720, 344
• GCD of 722, 144, 387, 627
• GCD of 236, 455, 455, 837

1. What is the GCD of 826, 712, 725, 849?

GCD of 826, 712, 725, 849 is 1

2. Where do I get the detailed procedure to find GCD of 826, 712, 725, 849?

You can find a detailed procedure to find GCD of 826, 712, 725, 849 on our page.

3. How to find GCD of 826, 712, 725, 849 on a calculator?

You can find the GCD of 826, 712, 725, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.