GCD of 46, 298, 129, 643 Calculator

Given Input numbers are 46, 298, 129, 643

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 46, 298, 129, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 298, 129, 643 is 1.

Therefore, GCD of numbers 46, 298, 129, 643 is 1

Given Input Data is 46, 298, 129, 643

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 298 is 2 x 149

Prime Factorization of 129 is 3 x 43

Prime Factorization of 643 is 643

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(46, 298) = 6854

GCD(46, 298) = ( 46 x 298 ) / 6854

GCD(46, 298) = 13708 / 6854

GCD(46, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 129

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

LCM(2, 129) = 258

GCD(2, 129) = ( 2 x 129 ) / 258

GCD(2, 129) = 258 / 258

GCD(2, 129) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

GCD of 46, 298, 129, 643 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 270, 665, 952
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• GCD of 91, 128, 593, 711
• GCD of 90, 807, 427, 750

1. What is the GCD of 46, 298, 129, 643?

GCD of 46, 298, 129, 643 is 1

2. Where do I get the detailed procedure to find GCD of 46, 298, 129, 643?

You can find a detailed procedure to find GCD of 46, 298, 129, 643 on our page.

3. How to find GCD of 46, 298, 129, 643 on a calculator?

You can find the GCD of 46, 298, 129, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.