GCD of 390, 620, 62, 208 Calculator

Given Input numbers are 390, 620, 62, 208

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 62

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

1, 2, 31, 62

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 390, 620, 62, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 620, 62, 208 is 2.

Therefore, GCD of numbers 390, 620, 62, 208 is 2

Given Input Data is 390, 620, 62, 208

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 62 is 2 x 31

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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(390, 620) = 24180

GCD(390, 620) = ( 390 x 620 ) / 24180

GCD(390, 620) = 241800 / 24180

GCD(390, 620) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 62

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

LCM(10, 62) = 310

GCD(10, 62) = ( 10 x 62 ) / 310

GCD(10, 62) = 620 / 310

GCD(10, 62) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 208

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

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

GCD(2, 208) = 416 / 208

GCD(2, 208) = 2

GCD of 390, 620, 62, 208 is 2

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1. What is the GCD of 390, 620, 62, 208?

GCD of 390, 620, 62, 208 is 2

2. Where do I get the detailed procedure to find GCD of 390, 620, 62, 208?

You can find a detailed procedure to find GCD of 390, 620, 62, 208 on our page.

3. How to find GCD of 390, 620, 62, 208 on a calculator?

You can find the GCD of 390, 620, 62, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.