GCD of 199, 975, 240 Calculator

Given Input numbers are 199, 975, 240

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

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 199, 975, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 975, 240 is 1.

Therefore, GCD of numbers 199, 975, 240 is 1

Given Input Data is 199, 975, 240

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

Prime Factorization of 199 is 199

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

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(199, 975) = 194025

GCD(199, 975) = ( 199 x 975 ) / 194025

GCD(199, 975) = 194025 / 194025

GCD(199, 975) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 199, 975, 240 is 1

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• GCD of 934, 333, 561
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1. What is the GCD of 199, 975, 240?

GCD of 199, 975, 240 is 1

2. Where do I get the detailed procedure to find GCD of 199, 975, 240?

You can find a detailed procedure to find GCD of 199, 975, 240 on our page.

3. How to find GCD of 199, 975, 240 on a calculator?

You can find the GCD of 199, 975, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.