GCD of 109, 202, 336, 839 Calculator

Given Input numbers are 109, 202, 336, 839

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

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

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Greatest Common Divisior

We found the divisors of 109, 202, 336, 839 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 202, 336, 839 is 1.

Therefore, GCD of numbers 109, 202, 336, 839 is 1

Given Input Data is 109, 202, 336, 839

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

Prime Factorization of 109 is 109

Prime Factorization of 202 is 2 x 101

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

Prime Factorization of 839 is 839

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(109, 202) = 22018

GCD(109, 202) = ( 109 x 202 ) / 22018

GCD(109, 202) = 22018 / 22018

GCD(109, 202) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 839

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

LCM(1, 839) = 839

GCD(1, 839) = ( 1 x 839 ) / 839

GCD(1, 839) = 839 / 839

GCD(1, 839) = 1

GCD of 109, 202, 336, 839 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 985, 783, 660
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• GCD of 366, 227, 921, 139
• GCD of 833, 496, 607, 193
• GCD of 826, 810, 754, 168

1. What is the GCD of 109, 202, 336, 839?

GCD of 109, 202, 336, 839 is 1

2. Where do I get the detailed procedure to find GCD of 109, 202, 336, 839?

You can find a detailed procedure to find GCD of 109, 202, 336, 839 on our page.

3. How to find GCD of 109, 202, 336, 839 on a calculator?

You can find the GCD of 109, 202, 336, 839 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.