GCD of 20, 942, 413, 301 Calculator

Given Input numbers are 20, 942, 413, 301

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

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 20, 942, 413, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 942, 413, 301 is 1.

Therefore, GCD of numbers 20, 942, 413, 301 is 1

Given Input Data is 20, 942, 413, 301

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 413 is 7 x 59

Prime Factorization of 301 is 7 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(20, 942) = 9420

GCD(20, 942) = ( 20 x 942 ) / 9420

GCD(20, 942) = 18840 / 9420

GCD(20, 942) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 413

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

LCM(2, 413) = 826

GCD(2, 413) = ( 2 x 413 ) / 826

GCD(2, 413) = 826 / 826

GCD(2, 413) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

GCD of 20, 942, 413, 301 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 115, 841, 968
• GCD of 39, 540, 799, 792
• GCD of 31, 489, 563, 924
• GCD of 91, 174, 574, 970
• GCD of 58, 322, 369, 959

1. What is the GCD of 20, 942, 413, 301?

GCD of 20, 942, 413, 301 is 1

2. Where do I get the detailed procedure to find GCD of 20, 942, 413, 301?

You can find a detailed procedure to find GCD of 20, 942, 413, 301 on our page.

3. How to find GCD of 20, 942, 413, 301 on a calculator?

You can find the GCD of 20, 942, 413, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.