GCD of 240, 600, 690, 317 Calculator

Given Input numbers are 240, 600, 690, 317

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 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Greatest Common Divisior

We found the divisors of 240, 600, 690, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 600, 690, 317 is 1.

Therefore, GCD of numbers 240, 600, 690, 317 is 1

Given Input Data is 240, 600, 690, 317

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 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 317 is 317

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, 600) = 1200

GCD(240, 600) = ( 240 x 600 ) / 1200

GCD(240, 600) = 144000 / 1200

GCD(240, 600) = 120

Step2:

Here we consider the GCD from the above i.e. 120 as first number and the next as 690

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

LCM(120, 690) = 2760

GCD(120, 690) = ( 120 x 690 ) / 2760

GCD(120, 690) = 82800 / 2760

GCD(120, 690) = 30

Step3:

Here we consider the GCD from the above i.e. 30 as first number and the next as 317

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

LCM(30, 317) = 9510

GCD(30, 317) = ( 30 x 317 ) / 9510

GCD(30, 317) = 9510 / 9510

GCD(30, 317) = 1

GCD of 240, 600, 690, 317 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 963, 503, 639, 519
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1. What is the GCD of 240, 600, 690, 317?

GCD of 240, 600, 690, 317 is 1

2. Where do I get the detailed procedure to find GCD of 240, 600, 690, 317?

You can find a detailed procedure to find GCD of 240, 600, 690, 317 on our page.

3. How to find GCD of 240, 600, 690, 317 on a calculator?

You can find the GCD of 240, 600, 690, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.