GCD of 413, 826, 739, 138 Calculator

Given Input numbers are 413, 826, 739, 138

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

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

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 739

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

1, 739

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 413, 826, 739, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 826, 739, 138 is 1.

Therefore, GCD of numbers 413, 826, 739, 138 is 1

Given Input Data is 413, 826, 739, 138

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 739 is 739

Prime Factorization of 138 is 2 x 3 x 23

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(413, 826) = 826

GCD(413, 826) = ( 413 x 826 ) / 826

GCD(413, 826) = 341138 / 826

GCD(413, 826) = 413

Step2:

Here we consider the GCD from the above i.e. 413 as first number and the next as 739

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

LCM(413, 739) = 305207

GCD(413, 739) = ( 413 x 739 ) / 305207

GCD(413, 739) = 305207 / 305207

GCD(413, 739) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 413, 826, 739, 138 is 1

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1. What is the GCD of 413, 826, 739, 138?

GCD of 413, 826, 739, 138 is 1

2. Where do I get the detailed procedure to find GCD of 413, 826, 739, 138?

You can find a detailed procedure to find GCD of 413, 826, 739, 138 on our page.

3. How to find GCD of 413, 826, 739, 138 on a calculator?

You can find the GCD of 413, 826, 739, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.