GCD of 464, 909, 54, 994 Calculator

Given Input numbers are 464, 909, 54, 994

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 909

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

1, 3, 9, 101, 303, 909

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 464, 909, 54, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 909, 54, 994 is 1.

Therefore, GCD of numbers 464, 909, 54, 994 is 1

Given Input Data is 464, 909, 54, 994

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 994 is 2 x 7 x 71

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(464, 909) = 421776

GCD(464, 909) = ( 464 x 909 ) / 421776

GCD(464, 909) = 421776 / 421776

GCD(464, 909) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 464, 909, 54, 994 is 1

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1. What is the GCD of 464, 909, 54, 994?

GCD of 464, 909, 54, 994 is 1

2. Where do I get the detailed procedure to find GCD of 464, 909, 54, 994?

You can find a detailed procedure to find GCD of 464, 909, 54, 994 on our page.

3. How to find GCD of 464, 909, 54, 994 on a calculator?

You can find the GCD of 464, 909, 54, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.