GCD of 300, 548, 418, 932 Calculator

Given Input numbers are 300, 548, 418, 932

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 548

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

1, 2, 4, 137, 274, 548

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Greatest Common Divisior

We found the divisors of 300, 548, 418, 932 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 548, 418, 932 is 2.

Therefore, GCD of numbers 300, 548, 418, 932 is 2

Given Input Data is 300, 548, 418, 932

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 932 is 2 x 2 x 233

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(300, 548) = 41100

GCD(300, 548) = ( 300 x 548 ) / 41100

GCD(300, 548) = 164400 / 41100

GCD(300, 548) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 418

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

LCM(4, 418) = 836

GCD(4, 418) = ( 4 x 418 ) / 836

GCD(4, 418) = 1672 / 836

GCD(4, 418) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 932

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

LCM(2, 932) = 932

GCD(2, 932) = ( 2 x 932 ) / 932

GCD(2, 932) = 1864 / 932

GCD(2, 932) = 2

GCD of 300, 548, 418, 932 is 2

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1. What is the GCD of 300, 548, 418, 932?

GCD of 300, 548, 418, 932 is 2

2. Where do I get the detailed procedure to find GCD of 300, 548, 418, 932?

You can find a detailed procedure to find GCD of 300, 548, 418, 932 on our page.

3. How to find GCD of 300, 548, 418, 932 on a calculator?

You can find the GCD of 300, 548, 418, 932 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.