GCD of 336, 909, 26, 753 Calculator

Given Input numbers are 336, 909, 26, 753

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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 336, 909, 26, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 909, 26, 753 is 1.

Therefore, GCD of numbers 336, 909, 26, 753 is 1

Given Input Data is 336, 909, 26, 753

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 26 is 2 x 13

Prime Factorization of 753 is 3 x 251

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(336, 909) = 101808

GCD(336, 909) = ( 336 x 909 ) / 101808

GCD(336, 909) = 305424 / 101808

GCD(336, 909) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 26

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

LCM(3, 26) = 78

GCD(3, 26) = ( 3 x 26 ) / 78

GCD(3, 26) = 78 / 78

GCD(3, 26) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 753

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

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

GCD(1, 753) = 753 / 753

GCD(1, 753) = 1

GCD of 336, 909, 26, 753 is 1

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1. What is the GCD of 336, 909, 26, 753?

GCD of 336, 909, 26, 753 is 1

2. Where do I get the detailed procedure to find GCD of 336, 909, 26, 753?

You can find a detailed procedure to find GCD of 336, 909, 26, 753 on our page.

3. How to find GCD of 336, 909, 26, 753 on a calculator?

You can find the GCD of 336, 909, 26, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.