GCD of 939, 309, 87, 138 Calculator

Given Input numbers are 939, 309, 87, 138

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

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 309

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

1, 3, 103, 309

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 138

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

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

Greatest Common Divisior

We found the divisors of 939, 309, 87, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 939, 309, 87, 138 is 3.

Therefore, GCD of numbers 939, 309, 87, 138 is 3

Given Input Data is 939, 309, 87, 138

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

Prime Factorization of 939 is 3 x 313

Prime Factorization of 309 is 3 x 103

Prime Factorization of 87 is 3 x 29

Prime Factorization of 138 is 2 x 3 x 23

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(939, 309) = 96717

GCD(939, 309) = ( 939 x 309 ) / 96717

GCD(939, 309) = 290151 / 96717

GCD(939, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 87

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

LCM(3, 87) = 87

GCD(3, 87) = ( 3 x 87 ) / 87

GCD(3, 87) = 261 / 87

GCD(3, 87) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 138

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

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

GCD(3, 138) = 414 / 138

GCD(3, 138) = 3

GCD of 939, 309, 87, 138 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 458, 457, 28, 667
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• GCD of 907, 560, 78, 909
• GCD of 738, 223, 17, 402
• GCD of 904, 981, 31, 399

1. What is the GCD of 939, 309, 87, 138?

GCD of 939, 309, 87, 138 is 3

2. Where do I get the detailed procedure to find GCD of 939, 309, 87, 138?

You can find a detailed procedure to find GCD of 939, 309, 87, 138 on our page.

3. How to find GCD of 939, 309, 87, 138 on a calculator?

You can find the GCD of 939, 309, 87, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.