GCD of 389, 900, 49, 474 Calculator

Given Input numbers are 389, 900, 49, 474

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

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 389, 900, 49, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 900, 49, 474 is 1.

Therefore, GCD of numbers 389, 900, 49, 474 is 1

Given Input Data is 389, 900, 49, 474

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

Prime Factorization of 389 is 389

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 49 is 7 x 7

Prime Factorization of 474 is 2 x 3 x 79

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(389, 900) = 350100

GCD(389, 900) = ( 389 x 900 ) / 350100

GCD(389, 900) = 350100 / 350100

GCD(389, 900) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 389, 900, 49, 474 is 1

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• GCD of 682, 524, 69, 602
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1. What is the GCD of 389, 900, 49, 474?

GCD of 389, 900, 49, 474 is 1

2. Where do I get the detailed procedure to find GCD of 389, 900, 49, 474?

You can find a detailed procedure to find GCD of 389, 900, 49, 474 on our page.

3. How to find GCD of 389, 900, 49, 474 on a calculator?

You can find the GCD of 389, 900, 49, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.