GCD of 240, 974, 409 Calculator

Given Input numbers are 240, 974, 409

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

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 240, 974, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 974, 409 is 1.

Therefore, GCD of numbers 240, 974, 409 is 1

Given Input Data is 240, 974, 409

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

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 409 is 409

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(240, 974) = 116880

GCD(240, 974) = ( 240 x 974 ) / 116880

GCD(240, 974) = 233760 / 116880

GCD(240, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 409

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

LCM(2, 409) = 818

GCD(2, 409) = ( 2 x 409 ) / 818

GCD(2, 409) = 818 / 818

GCD(2, 409) = 1

GCD of 240, 974, 409 is 1

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• GCD of 469, 664, 110
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1. What is the GCD of 240, 974, 409?

GCD of 240, 974, 409 is 1

2. Where do I get the detailed procedure to find GCD of 240, 974, 409?

You can find a detailed procedure to find GCD of 240, 974, 409 on our page.

3. How to find GCD of 240, 974, 409 on a calculator?

You can find the GCD of 240, 974, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.