GCD of 300, 908, 757, 747 Calculator

Given Input numbers are 300, 908, 757, 747

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 908

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

1, 2, 4, 227, 454, 908

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 300, 908, 757, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 908, 757, 747 is 1.

Therefore, GCD of numbers 300, 908, 757, 747 is 1

Given Input Data is 300, 908, 757, 747

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 908 is 2 x 2 x 227

Prime Factorization of 757 is 757

Prime Factorization of 747 is 3 x 3 x 83

The above numbers do not have any common prime factor. So GCD is 1

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, 908) = 68100

GCD(300, 908) = ( 300 x 908 ) / 68100

GCD(300, 908) = 272400 / 68100

GCD(300, 908) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 757

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

LCM(4, 757) = 3028

GCD(4, 757) = ( 4 x 757 ) / 3028

GCD(4, 757) = 3028 / 3028

GCD(4, 757) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

GCD of 300, 908, 757, 747 is 1

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1. What is the GCD of 300, 908, 757, 747?

GCD of 300, 908, 757, 747 is 1

2. Where do I get the detailed procedure to find GCD of 300, 908, 757, 747?

You can find a detailed procedure to find GCD of 300, 908, 757, 747 on our page.

3. How to find GCD of 300, 908, 757, 747 on a calculator?

You can find the GCD of 300, 908, 757, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.