GCD of 301, 141, 42, 628 Calculator

Given Input numbers are 301, 141, 42, 628

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

Divisors of 301

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

1, 7, 43, 301

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 301, 141, 42, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 141, 42, 628 is 1.

Therefore, GCD of numbers 301, 141, 42, 628 is 1

Given Input Data is 301, 141, 42, 628

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 141 is 3 x 47

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 628 is 2 x 2 x 157

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(301, 141) = 42441

GCD(301, 141) = ( 301 x 141 ) / 42441

GCD(301, 141) = 42441 / 42441

GCD(301, 141) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 301, 141, 42, 628 is 1

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1. What is the GCD of 301, 141, 42, 628?

GCD of 301, 141, 42, 628 is 1

2. Where do I get the detailed procedure to find GCD of 301, 141, 42, 628?

You can find a detailed procedure to find GCD of 301, 141, 42, 628 on our page.

3. How to find GCD of 301, 141, 42, 628 on a calculator?

You can find the GCD of 301, 141, 42, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.