GCD of 300, 420, 428, 146 Calculator

Given Input numbers are 300, 420, 428, 146

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 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 300, 420, 428, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 420, 428, 146 is 2.

Therefore, GCD of numbers 300, 420, 428, 146 is 2

Given Input Data is 300, 420, 428, 146

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 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 146 is 2 x 73

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, 420) = 2100

GCD(300, 420) = ( 300 x 420 ) / 2100

GCD(300, 420) = 126000 / 2100

GCD(300, 420) = 60

Step2:

Here we consider the GCD from the above i.e. 60 as first number and the next as 428

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

LCM(60, 428) = 6420

GCD(60, 428) = ( 60 x 428 ) / 6420

GCD(60, 428) = 25680 / 6420

GCD(60, 428) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 146

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

LCM(4, 146) = 292

GCD(4, 146) = ( 4 x 146 ) / 292

GCD(4, 146) = 584 / 292

GCD(4, 146) = 2

GCD of 300, 420, 428, 146 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 832, 601, 848, 715
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• GCD of 657, 343, 551, 920
• GCD of 980, 262, 247, 841
• GCD of 347, 126, 165, 339

1. What is the GCD of 300, 420, 428, 146?

GCD of 300, 420, 428, 146 is 2

2. Where do I get the detailed procedure to find GCD of 300, 420, 428, 146?

You can find a detailed procedure to find GCD of 300, 420, 428, 146 on our page.

3. How to find GCD of 300, 420, 428, 146 on a calculator?

You can find the GCD of 300, 420, 428, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.