GCD of 42, 548, 908, 900 Calculator

Given Input numbers are 42, 548, 908, 900

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

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 42, 548, 908, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 548, 908, 900 is 2.

Therefore, GCD of numbers 42, 548, 908, 900 is 2

Given Input Data is 42, 548, 908, 900

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 908 is 2 x 2 x 227

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(42, 548) = 11508

GCD(42, 548) = ( 42 x 548 ) / 11508

GCD(42, 548) = 23016 / 11508

GCD(42, 548) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 908

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

LCM(2, 908) = 908

GCD(2, 908) = ( 2 x 908 ) / 908

GCD(2, 908) = 1816 / 908

GCD(2, 908) = 2

Step3:

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 42, 548, 908, 900 is 2

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1. What is the GCD of 42, 548, 908, 900?

GCD of 42, 548, 908, 900 is 2

2. Where do I get the detailed procedure to find GCD of 42, 548, 908, 900?

You can find a detailed procedure to find GCD of 42, 548, 908, 900 on our page.

3. How to find GCD of 42, 548, 908, 900 on a calculator?

You can find the GCD of 42, 548, 908, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.