GCD of 620, 780, 195, 475 Calculator

Given Input numbers are 620, 780, 195, 475

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

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 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 620, 780, 195, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 620, 780, 195, 475 is 5.

Therefore, GCD of numbers 620, 780, 195, 475 is 5

Given Input Data is 620, 780, 195, 475

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

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

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 475 is 5 x 5 x 19

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(620, 780) = 24180

GCD(620, 780) = ( 620 x 780 ) / 24180

GCD(620, 780) = 483600 / 24180

GCD(620, 780) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 195

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

LCM(20, 195) = 780

GCD(20, 195) = ( 20 x 195 ) / 780

GCD(20, 195) = 3900 / 780

GCD(20, 195) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 475

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

LCM(5, 475) = 475

GCD(5, 475) = ( 5 x 475 ) / 475

GCD(5, 475) = 2375 / 475

GCD(5, 475) = 5

GCD of 620, 780, 195, 475 is 5

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1. What is the GCD of 620, 780, 195, 475?

GCD of 620, 780, 195, 475 is 5

2. Where do I get the detailed procedure to find GCD of 620, 780, 195, 475?

You can find a detailed procedure to find GCD of 620, 780, 195, 475 on our page.

3. How to find GCD of 620, 780, 195, 475 on a calculator?

You can find the GCD of 620, 780, 195, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.