GCD of 83, 744, 826, 367 Calculator

Given Input numbers are 83, 744, 826, 367

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Greatest Common Divisior

We found the divisors of 83, 744, 826, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 744, 826, 367 is 1.

Therefore, GCD of numbers 83, 744, 826, 367 is 1

Given Input Data is 83, 744, 826, 367

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

Prime Factorization of 83 is 83

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 367 is 367

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(83, 744) = 61752

GCD(83, 744) = ( 83 x 744 ) / 61752

GCD(83, 744) = 61752 / 61752

GCD(83, 744) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 826

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

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 367

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

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

GCD(1, 367) = 367 / 367

GCD(1, 367) = 1

GCD of 83, 744, 826, 367 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 237, 246, 164
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• GCD of 77, 131, 240, 995
• GCD of 32, 192, 599, 320
• GCD of 11, 425, 133, 248

1. What is the GCD of 83, 744, 826, 367?

GCD of 83, 744, 826, 367 is 1

2. Where do I get the detailed procedure to find GCD of 83, 744, 826, 367?

You can find a detailed procedure to find GCD of 83, 744, 826, 367 on our page.

3. How to find GCD of 83, 744, 826, 367 on a calculator?

You can find the GCD of 83, 744, 826, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.