GCD of 183, 100, 343, 336 Calculator

Given Input numbers are 183, 100, 343, 336

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

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 343

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

1, 7, 49, 343

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Greatest Common Divisior

We found the divisors of 183, 100, 343, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 183, 100, 343, 336 is 1.

Therefore, GCD of numbers 183, 100, 343, 336 is 1

Given Input Data is 183, 100, 343, 336

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

Prime Factorization of 183 is 3 x 61

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

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(183, 100) = 18300

GCD(183, 100) = ( 183 x 100 ) / 18300

GCD(183, 100) = 18300 / 18300

GCD(183, 100) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 336

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

LCM(1, 336) = 336

GCD(1, 336) = ( 1 x 336 ) / 336

GCD(1, 336) = 336 / 336

GCD(1, 336) = 1

GCD of 183, 100, 343, 336 is 1

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1. What is the GCD of 183, 100, 343, 336?

GCD of 183, 100, 343, 336 is 1

2. Where do I get the detailed procedure to find GCD of 183, 100, 343, 336?

You can find a detailed procedure to find GCD of 183, 100, 343, 336 on our page.

3. How to find GCD of 183, 100, 343, 336 on a calculator?

You can find the GCD of 183, 100, 343, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.