GCD of 295, 382, 20, 618 Calculator

Given Input numbers are 295, 382, 20, 618

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Greatest Common Divisior

We found the divisors of 295, 382, 20, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 382, 20, 618 is 1.

Therefore, GCD of numbers 295, 382, 20, 618 is 1

Given Input Data is 295, 382, 20, 618

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 382 is 2 x 191

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 618 is 2 x 3 x 103

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(295, 382) = 112690

GCD(295, 382) = ( 295 x 382 ) / 112690

GCD(295, 382) = 112690 / 112690

GCD(295, 382) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 618

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

LCM(1, 618) = 618

GCD(1, 618) = ( 1 x 618 ) / 618

GCD(1, 618) = 618 / 618

GCD(1, 618) = 1

GCD of 295, 382, 20, 618 is 1

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1. What is the GCD of 295, 382, 20, 618?

GCD of 295, 382, 20, 618 is 1

2. Where do I get the detailed procedure to find GCD of 295, 382, 20, 618?

You can find a detailed procedure to find GCD of 295, 382, 20, 618 on our page.

3. How to find GCD of 295, 382, 20, 618 on a calculator?

You can find the GCD of 295, 382, 20, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.