GCD of 300, 175, 28, 621 Calculator

Given Input numbers are 300, 175, 28, 621

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 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Greatest Common Divisior

We found the divisors of 300, 175, 28, 621 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 175, 28, 621 is 1.

Therefore, GCD of numbers 300, 175, 28, 621 is 1

Given Input Data is 300, 175, 28, 621

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 175 is 5 x 5 x 7

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 621 is 3 x 3 x 3 x 23

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, 175) = 2100

GCD(300, 175) = ( 300 x 175 ) / 2100

GCD(300, 175) = 52500 / 2100

GCD(300, 175) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 28

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

LCM(25, 28) = 700

GCD(25, 28) = ( 25 x 28 ) / 700

GCD(25, 28) = 700 / 700

GCD(25, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 621

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

LCM(1, 621) = 621

GCD(1, 621) = ( 1 x 621 ) / 621

GCD(1, 621) = 621 / 621

GCD(1, 621) = 1

GCD of 300, 175, 28, 621 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 425, 864, 87, 803
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• GCD of 390, 305, 77, 552

1. What is the GCD of 300, 175, 28, 621?

GCD of 300, 175, 28, 621 is 1

2. Where do I get the detailed procedure to find GCD of 300, 175, 28, 621?

You can find a detailed procedure to find GCD of 300, 175, 28, 621 on our page.

3. How to find GCD of 300, 175, 28, 621 on a calculator?

You can find the GCD of 300, 175, 28, 621 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.