GCD of 334, 954, 40, 909 Calculator

Given Input numbers are 334, 954, 40, 909

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

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 334, 954, 40, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 954, 40, 909 is 1.

Therefore, GCD of numbers 334, 954, 40, 909 is 1

Given Input Data is 334, 954, 40, 909

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 40 is 2 x 2 x 2 x 5

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(334, 954) = 159318

GCD(334, 954) = ( 334 x 954 ) / 159318

GCD(334, 954) = 318636 / 159318

GCD(334, 954) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 909

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

LCM(2, 909) = 1818

GCD(2, 909) = ( 2 x 909 ) / 1818

GCD(2, 909) = 1818 / 1818

GCD(2, 909) = 1

GCD of 334, 954, 40, 909 is 1

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1. What is the GCD of 334, 954, 40, 909?

GCD of 334, 954, 40, 909 is 1

2. Where do I get the detailed procedure to find GCD of 334, 954, 40, 909?

You can find a detailed procedure to find GCD of 334, 954, 40, 909 on our page.

3. How to find GCD of 334, 954, 40, 909 on a calculator?

You can find the GCD of 334, 954, 40, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.