GCD of 12, 826, 674, 739 Calculator

Given Input numbers are 12, 826, 674, 739

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

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 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 12, 826, 674, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 826, 674, 739 is 1.

Therefore, GCD of numbers 12, 826, 674, 739 is 1

Given Input Data is 12, 826, 674, 739

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 674 is 2 x 337

Prime Factorization of 739 is 739

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(12, 826) = 4956

GCD(12, 826) = ( 12 x 826 ) / 4956

GCD(12, 826) = 9912 / 4956

GCD(12, 826) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 674

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

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

GCD(2, 674) = 1348 / 674

GCD(2, 674) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 739

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

LCM(2, 739) = 1478

GCD(2, 739) = ( 2 x 739 ) / 1478

GCD(2, 739) = 1478 / 1478

GCD(2, 739) = 1

GCD of 12, 826, 674, 739 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 215, 754, 237
• GCD of 56, 372, 296, 420
• GCD of 33, 407, 801, 755
• GCD of 97, 961, 215, 338
• GCD of 56, 277, 333, 922

1. What is the GCD of 12, 826, 674, 739?

GCD of 12, 826, 674, 739 is 1

2. Where do I get the detailed procedure to find GCD of 12, 826, 674, 739?

You can find a detailed procedure to find GCD of 12, 826, 674, 739 on our page.

3. How to find GCD of 12, 826, 674, 739 on a calculator?

You can find the GCD of 12, 826, 674, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.