GCD of 642, 165, 343, 298 Calculator

Given Input numbers are 642, 165, 343, 298

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 298

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

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 642, 165, 343, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 165, 343, 298 is 1.

Therefore, GCD of numbers 642, 165, 343, 298 is 1

Given Input Data is 642, 165, 343, 298

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 298 is 2 x 149

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(642, 165) = 35310

GCD(642, 165) = ( 642 x 165 ) / 35310

GCD(642, 165) = 105930 / 35310

GCD(642, 165) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 343

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

LCM(3, 343) = 1029

GCD(3, 343) = ( 3 x 343 ) / 1029

GCD(3, 343) = 1029 / 1029

GCD(3, 343) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 642, 165, 343, 298 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 631, 436, 748
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1. What is the GCD of 642, 165, 343, 298?

GCD of 642, 165, 343, 298 is 1

2. Where do I get the detailed procedure to find GCD of 642, 165, 343, 298?

You can find a detailed procedure to find GCD of 642, 165, 343, 298 on our page.

3. How to find GCD of 642, 165, 343, 298 on a calculator?

You can find the GCD of 642, 165, 343, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.