GCD of 137, 308, 34, 279 Calculator

Given Input numbers are 137, 308, 34, 279

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

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 137, 308, 34, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 308, 34, 279 is 1.

Therefore, GCD of numbers 137, 308, 34, 279 is 1

Given Input Data is 137, 308, 34, 279

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

Prime Factorization of 137 is 137

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 34 is 2 x 17

Prime Factorization of 279 is 3 x 3 x 31

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(137, 308) = 42196

GCD(137, 308) = ( 137 x 308 ) / 42196

GCD(137, 308) = 42196 / 42196

GCD(137, 308) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

GCD of 137, 308, 34, 279 is 1

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1. What is the GCD of 137, 308, 34, 279?

GCD of 137, 308, 34, 279 is 1

2. Where do I get the detailed procedure to find GCD of 137, 308, 34, 279?

You can find a detailed procedure to find GCD of 137, 308, 34, 279 on our page.

3. How to find GCD of 137, 308, 34, 279 on a calculator?

You can find the GCD of 137, 308, 34, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.