GCD of 738, 749, 909 Calculator

Given Input numbers are 738, 749, 909

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 909

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

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 738, 749, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 749, 909 is 1.

Therefore, GCD of numbers 738, 749, 909 is 1

Given Input Data is 738, 749, 909

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 749 is 7 x 107

Prime Factorization of 909 is 3 x 3 x 101

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(738, 749) = 552762

GCD(738, 749) = ( 738 x 749 ) / 552762

GCD(738, 749) = 552762 / 552762

GCD(738, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

GCD of 738, 749, 909 is 1

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1. What is the GCD of 738, 749, 909?

GCD of 738, 749, 909 is 1

2. Where do I get the detailed procedure to find GCD of 738, 749, 909?

You can find a detailed procedure to find GCD of 738, 749, 909 on our page.

3. How to find GCD of 738, 749, 909 on a calculator?

You can find the GCD of 738, 749, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.