GCD of 115, 820, 620 Calculator

Given Input numbers are 115, 820, 620

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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

Greatest Common Divisior

We found the divisors of 115, 820, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 820, 620 is 5.

Therefore, GCD of numbers 115, 820, 620 is 5

Given Input Data is 115, 820, 620

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 820 is 2 x 2 x 5 x 41

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

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(115, 820) = 18860

GCD(115, 820) = ( 115 x 820 ) / 18860

GCD(115, 820) = 94300 / 18860

GCD(115, 820) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 620

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

LCM(5, 620) = 620

GCD(5, 620) = ( 5 x 620 ) / 620

GCD(5, 620) = 3100 / 620

GCD(5, 620) = 5

GCD of 115, 820, 620 is 5

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1. What is the GCD of 115, 820, 620?

GCD of 115, 820, 620 is 5

2. Where do I get the detailed procedure to find GCD of 115, 820, 620?

You can find a detailed procedure to find GCD of 115, 820, 620 on our page.

3. How to find GCD of 115, 820, 620 on a calculator?

You can find the GCD of 115, 820, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.