GCD of 652, 300, 908 Calculator

Given Input numbers are 652, 300, 908

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

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

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 908

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

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 652, 300, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 652, 300, 908 is 4.

Therefore, GCD of numbers 652, 300, 908 is 4

Given Input Data is 652, 300, 908

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

Prime Factorization of 652 is 2 x 2 x 163

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

Prime Factorization of 908 is 2 x 2 x 227

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(652, 300) = 48900

GCD(652, 300) = ( 652 x 300 ) / 48900

GCD(652, 300) = 195600 / 48900

GCD(652, 300) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 908

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

LCM(4, 908) = 908

GCD(4, 908) = ( 4 x 908 ) / 908

GCD(4, 908) = 3632 / 908

GCD(4, 908) = 4

GCD of 652, 300, 908 is 4

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1. What is the GCD of 652, 300, 908?

GCD of 652, 300, 908 is 4

2. Where do I get the detailed procedure to find GCD of 652, 300, 908?

You can find a detailed procedure to find GCD of 652, 300, 908 on our page.

3. How to find GCD of 652, 300, 908 on a calculator?

You can find the GCD of 652, 300, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.