GCD of 482, 420, 62, 300 Calculator

Given Input numbers are 482, 420, 62, 300

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

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

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 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

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

Greatest Common Divisior

We found the divisors of 482, 420, 62, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 482, 420, 62, 300 is 2.

Therefore, GCD of numbers 482, 420, 62, 300 is 2

Given Input Data is 482, 420, 62, 300

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

Prime Factorization of 482 is 2 x 241

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 62 is 2 x 31

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

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(482, 420) = 101220

GCD(482, 420) = ( 482 x 420 ) / 101220

GCD(482, 420) = 202440 / 101220

GCD(482, 420) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 62

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

LCM(2, 62) = 62

GCD(2, 62) = ( 2 x 62 ) / 62

GCD(2, 62) = 124 / 62

GCD(2, 62) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 300

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

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

GCD(2, 300) = 600 / 300

GCD(2, 300) = 2

GCD of 482, 420, 62, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 294, 892, 71, 746
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• GCD of 741, 855, 91, 431

1. What is the GCD of 482, 420, 62, 300?

GCD of 482, 420, 62, 300 is 2

2. Where do I get the detailed procedure to find GCD of 482, 420, 62, 300?

You can find a detailed procedure to find GCD of 482, 420, 62, 300 on our page.

3. How to find GCD of 482, 420, 62, 300 on a calculator?

You can find the GCD of 482, 420, 62, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.