GCD of 152, 182, 900 Calculator

Given Input numbers are 152, 182, 900

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

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 152, 182, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 182, 900 is 2.

Therefore, GCD of numbers 152, 182, 900 is 2

Given Input Data is 152, 182, 900

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 182 is 2 x 7 x 13

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(152, 182) = 13832

GCD(152, 182) = ( 152 x 182 ) / 13832

GCD(152, 182) = 27664 / 13832

GCD(152, 182) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 900

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

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

GCD(2, 900) = 1800 / 900

GCD(2, 900) = 2

GCD of 152, 182, 900 is 2

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1. What is the GCD of 152, 182, 900?

GCD of 152, 182, 900 is 2

2. Where do I get the detailed procedure to find GCD of 152, 182, 900?

You can find a detailed procedure to find GCD of 152, 182, 900 on our page.

3. How to find GCD of 152, 182, 900 on a calculator?

You can find the GCD of 152, 182, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.