GCD of 336, 209, 15, 970 Calculator

Given Input numbers are 336, 209, 15, 970

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

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 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 336, 209, 15, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 209, 15, 970 is 1.

Therefore, GCD of numbers 336, 209, 15, 970 is 1

Given Input Data is 336, 209, 15, 970

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

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 15 is 3 x 5

Prime Factorization of 970 is 2 x 5 x 97

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(336, 209) = 70224

GCD(336, 209) = ( 336 x 209 ) / 70224

GCD(336, 209) = 70224 / 70224

GCD(336, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

GCD of 336, 209, 15, 970 is 1

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1. What is the GCD of 336, 209, 15, 970?

GCD of 336, 209, 15, 970 is 1

2. Where do I get the detailed procedure to find GCD of 336, 209, 15, 970?

You can find a detailed procedure to find GCD of 336, 209, 15, 970 on our page.

3. How to find GCD of 336, 209, 15, 970 on a calculator?

You can find the GCD of 336, 209, 15, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.