GCD of 240, 675, 959, 305 Calculator

Given Input numbers are 240, 675, 959, 305

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 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

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 240, 675, 959, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 675, 959, 305 is 1.

Therefore, GCD of numbers 240, 675, 959, 305 is 1

Given Input Data is 240, 675, 959, 305

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 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 959 is 7 x 137

Prime Factorization of 305 is 5 x 61

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, 675) = 10800

GCD(240, 675) = ( 240 x 675 ) / 10800

GCD(240, 675) = 162000 / 10800

GCD(240, 675) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 959

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

LCM(15, 959) = 14385

GCD(15, 959) = ( 15 x 959 ) / 14385

GCD(15, 959) = 14385 / 14385

GCD(15, 959) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

GCD of 240, 675, 959, 305 is 1

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1. What is the GCD of 240, 675, 959, 305?

GCD of 240, 675, 959, 305 is 1

2. Where do I get the detailed procedure to find GCD of 240, 675, 959, 305?

You can find a detailed procedure to find GCD of 240, 675, 959, 305 on our page.

3. How to find GCD of 240, 675, 959, 305 on a calculator?

You can find the GCD of 240, 675, 959, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.