GCD of 240, 705, 791, 341 Calculator

Given Input numbers are 240, 705, 791, 341

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 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 240, 705, 791, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 705, 791, 341 is 1.

Therefore, GCD of numbers 240, 705, 791, 341 is 1

Given Input Data is 240, 705, 791, 341

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 705 is 3 x 5 x 47

Prime Factorization of 791 is 7 x 113

Prime Factorization of 341 is 11 x 31

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, 705) = 11280

GCD(240, 705) = ( 240 x 705 ) / 11280

GCD(240, 705) = 169200 / 11280

GCD(240, 705) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 791

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

LCM(15, 791) = 11865

GCD(15, 791) = ( 15 x 791 ) / 11865

GCD(15, 791) = 11865 / 11865

GCD(15, 791) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 240, 705, 791, 341 is 1

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1. What is the GCD of 240, 705, 791, 341?

GCD of 240, 705, 791, 341 is 1

2. Where do I get the detailed procedure to find GCD of 240, 705, 791, 341?

You can find a detailed procedure to find GCD of 240, 705, 791, 341 on our page.

3. How to find GCD of 240, 705, 791, 341 on a calculator?

You can find the GCD of 240, 705, 791, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.