GCD of 279, 744, 346, 836 Calculator

Given Input numbers are 279, 744, 346, 836

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

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

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 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Greatest Common Divisior

We found the divisors of 279, 744, 346, 836 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 744, 346, 836 is 1.

Therefore, GCD of numbers 279, 744, 346, 836 is 1

Given Input Data is 279, 744, 346, 836

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

Prime Factorization of 279 is 3 x 3 x 31

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 836 is 2 x 2 x 11 x 19

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(279, 744) = 2232

GCD(279, 744) = ( 279 x 744 ) / 2232

GCD(279, 744) = 207576 / 2232

GCD(279, 744) = 93

Step2:

Here we consider the GCD from the above i.e. 93 as first number and the next as 346

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

LCM(93, 346) = 32178

GCD(93, 346) = ( 93 x 346 ) / 32178

GCD(93, 346) = 32178 / 32178

GCD(93, 346) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 836

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

LCM(1, 836) = 836

GCD(1, 836) = ( 1 x 836 ) / 836

GCD(1, 836) = 836 / 836

GCD(1, 836) = 1

GCD of 279, 744, 346, 836 is 1

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1. What is the GCD of 279, 744, 346, 836?

GCD of 279, 744, 346, 836 is 1

2. Where do I get the detailed procedure to find GCD of 279, 744, 346, 836?

You can find a detailed procedure to find GCD of 279, 744, 346, 836 on our page.

3. How to find GCD of 279, 744, 346, 836 on a calculator?

You can find the GCD of 279, 744, 346, 836 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.