GCD of 980, 205, 115, 305 Calculator

Given Input numbers are 980, 205, 115, 305

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

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 115

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

1, 5, 23, 115

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 980, 205, 115, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 205, 115, 305 is 5.

Therefore, GCD of numbers 980, 205, 115, 305 is 5

Given Input Data is 980, 205, 115, 305

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

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 205 is 5 x 41

Prime Factorization of 115 is 5 x 23

Prime Factorization of 305 is 5 x 61

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(980, 205) = 40180

GCD(980, 205) = ( 980 x 205 ) / 40180

GCD(980, 205) = 200900 / 40180

GCD(980, 205) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 115

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

LCM(5, 115) = 115

GCD(5, 115) = ( 5 x 115 ) / 115

GCD(5, 115) = 575 / 115

GCD(5, 115) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 305

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

LCM(5, 305) = 305

GCD(5, 305) = ( 5 x 305 ) / 305

GCD(5, 305) = 1525 / 305

GCD(5, 305) = 5

GCD of 980, 205, 115, 305 is 5

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1. What is the GCD of 980, 205, 115, 305?

GCD of 980, 205, 115, 305 is 5

2. Where do I get the detailed procedure to find GCD of 980, 205, 115, 305?

You can find a detailed procedure to find GCD of 980, 205, 115, 305 on our page.

3. How to find GCD of 980, 205, 115, 305 on a calculator?

You can find the GCD of 980, 205, 115, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.