GCD of 466, 909, 45, 338 Calculator

Given Input numbers are 466, 909, 45, 338

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

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 909

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

1, 3, 9, 101, 303, 909

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 466, 909, 45, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 909, 45, 338 is 1.

Therefore, GCD of numbers 466, 909, 45, 338 is 1

Given Input Data is 466, 909, 45, 338

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 338 is 2 x 13 x 13

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(466, 909) = 423594

GCD(466, 909) = ( 466 x 909 ) / 423594

GCD(466, 909) = 423594 / 423594

GCD(466, 909) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 466, 909, 45, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 596, 97, 909
• GCD of 717, 155, 43, 114
• GCD of 813, 204, 95, 801
• GCD of 468, 979, 43, 866
• GCD of 345, 671, 69, 298

1. What is the GCD of 466, 909, 45, 338?

GCD of 466, 909, 45, 338 is 1

2. Where do I get the detailed procedure to find GCD of 466, 909, 45, 338?

You can find a detailed procedure to find GCD of 466, 909, 45, 338 on our page.

3. How to find GCD of 466, 909, 45, 338 on a calculator?

You can find the GCD of 466, 909, 45, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.