GCD of 477, 414, 150, 994 Calculator

Given Input numbers are 477, 414, 150, 994

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

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

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 477, 414, 150, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 477, 414, 150, 994 is 1.

Therefore, GCD of numbers 477, 414, 150, 994 is 1

Given Input Data is 477, 414, 150, 994

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

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 150 is 2 x 3 x 5 x 5

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(477, 414) = 21942

GCD(477, 414) = ( 477 x 414 ) / 21942

GCD(477, 414) = 197478 / 21942

GCD(477, 414) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 150

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

LCM(9, 150) = 450

GCD(9, 150) = ( 9 x 150 ) / 450

GCD(9, 150) = 1350 / 450

GCD(9, 150) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 994

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

LCM(3, 994) = 2982

GCD(3, 994) = ( 3 x 994 ) / 2982

GCD(3, 994) = 2982 / 2982

GCD(3, 994) = 1

GCD of 477, 414, 150, 994 is 1

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1. What is the GCD of 477, 414, 150, 994?

GCD of 477, 414, 150, 994 is 1

2. Where do I get the detailed procedure to find GCD of 477, 414, 150, 994?

You can find a detailed procedure to find GCD of 477, 414, 150, 994 on our page.

3. How to find GCD of 477, 414, 150, 994 on a calculator?

You can find the GCD of 477, 414, 150, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.