GCD of 240, 778, 384, 645 Calculator

Given Input numbers are 240, 778, 384, 645

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 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Greatest Common Divisior

We found the divisors of 240, 778, 384, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 778, 384, 645 is 1.

Therefore, GCD of numbers 240, 778, 384, 645 is 1

Given Input Data is 240, 778, 384, 645

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 778 is 2 x 389

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 645 is 3 x 5 x 43

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, 778) = 93360

GCD(240, 778) = ( 240 x 778 ) / 93360

GCD(240, 778) = 186720 / 93360

GCD(240, 778) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 384

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

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

GCD(2, 384) = 768 / 384

GCD(2, 384) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 645

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

LCM(2, 645) = 1290

GCD(2, 645) = ( 2 x 645 ) / 1290

GCD(2, 645) = 1290 / 1290

GCD(2, 645) = 1

GCD of 240, 778, 384, 645 is 1

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1. What is the GCD of 240, 778, 384, 645?

GCD of 240, 778, 384, 645 is 1

2. Where do I get the detailed procedure to find GCD of 240, 778, 384, 645?

You can find a detailed procedure to find GCD of 240, 778, 384, 645 on our page.

3. How to find GCD of 240, 778, 384, 645 on a calculator?

You can find the GCD of 240, 778, 384, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.