GCD of 210, 138, 309, 319 Calculator

Given Input numbers are 210, 138, 309, 319

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 210, 138, 309, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 138, 309, 319 is 1.

Therefore, GCD of numbers 210, 138, 309, 319 is 1

Given Input Data is 210, 138, 309, 319

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 309 is 3 x 103

Prime Factorization of 319 is 11 x 29

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(210, 138) = 4830

GCD(210, 138) = ( 210 x 138 ) / 4830

GCD(210, 138) = 28980 / 4830

GCD(210, 138) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 309

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

LCM(6, 309) = 618

GCD(6, 309) = ( 6 x 309 ) / 618

GCD(6, 309) = 1854 / 618

GCD(6, 309) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 319

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

LCM(3, 319) = 957

GCD(3, 319) = ( 3 x 319 ) / 957

GCD(3, 319) = 957 / 957

GCD(3, 319) = 1

GCD of 210, 138, 309, 319 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 122, 814, 509, 272
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• GCD of 286, 546, 137, 514
• GCD of 722, 416, 717, 556
• GCD of 103, 518, 890, 306

1. What is the GCD of 210, 138, 309, 319?

GCD of 210, 138, 309, 319 is 1

2. Where do I get the detailed procedure to find GCD of 210, 138, 309, 319?

You can find a detailed procedure to find GCD of 210, 138, 309, 319 on our page.

3. How to find GCD of 210, 138, 309, 319 on a calculator?

You can find the GCD of 210, 138, 309, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.