GCD of 376, 404, 900 Calculator

Given Input numbers are 376, 404, 900

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

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

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

Greatest Common Divisior

We found the divisors of 376, 404, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 404, 900 is 4.

Therefore, GCD of numbers 376, 404, 900 is 4

Given Input Data is 376, 404, 900

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

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 404 is 2 x 2 x 101

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(376, 404) = 37976

GCD(376, 404) = ( 376 x 404 ) / 37976

GCD(376, 404) = 151904 / 37976

GCD(376, 404) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 900

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

LCM(4, 900) = 900

GCD(4, 900) = ( 4 x 900 ) / 900

GCD(4, 900) = 3600 / 900

GCD(4, 900) = 4

GCD of 376, 404, 900 is 4

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1. What is the GCD of 376, 404, 900?

GCD of 376, 404, 900 is 4

2. Where do I get the detailed procedure to find GCD of 376, 404, 900?

You can find a detailed procedure to find GCD of 376, 404, 900 on our page.

3. How to find GCD of 376, 404, 900 on a calculator?

You can find the GCD of 376, 404, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.