GCD of 339, 138, 350, 553 Calculator

Given Input numbers are 339, 138, 350, 553

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

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

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 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 339, 138, 350, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 339, 138, 350, 553 is 1.

Therefore, GCD of numbers 339, 138, 350, 553 is 1

Given Input Data is 339, 138, 350, 553

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

Prime Factorization of 339 is 3 x 113

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 553 is 7 x 79

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(339, 138) = 15594

GCD(339, 138) = ( 339 x 138 ) / 15594

GCD(339, 138) = 46782 / 15594

GCD(339, 138) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 350

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

LCM(3, 350) = 1050

GCD(3, 350) = ( 3 x 350 ) / 1050

GCD(3, 350) = 1050 / 1050

GCD(3, 350) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 339, 138, 350, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 589, 245, 837, 522
• GCD of 169, 644, 622, 252
• GCD of 395, 290, 927, 968
• GCD of 978, 454, 125, 979
• GCD of 337, 772, 887, 434

1. What is the GCD of 339, 138, 350, 553?

GCD of 339, 138, 350, 553 is 1

2. Where do I get the detailed procedure to find GCD of 339, 138, 350, 553?

You can find a detailed procedure to find GCD of 339, 138, 350, 553 on our page.

3. How to find GCD of 339, 138, 350, 553 on a calculator?

You can find the GCD of 339, 138, 350, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.