GCD of 681, 402, 39, 123 Calculator

Given Input numbers are 681, 402, 39, 123

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

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 681, 402, 39, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 681, 402, 39, 123 is 3.

Therefore, GCD of numbers 681, 402, 39, 123 is 3

Given Input Data is 681, 402, 39, 123

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

Prime Factorization of 681 is 3 x 227

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 39 is 3 x 13

Prime Factorization of 123 is 3 x 41

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(681, 402) = 91254

GCD(681, 402) = ( 681 x 402 ) / 91254

GCD(681, 402) = 273762 / 91254

GCD(681, 402) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 39

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

LCM(3, 39) = 39

GCD(3, 39) = ( 3 x 39 ) / 39

GCD(3, 39) = 117 / 39

GCD(3, 39) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 123

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

LCM(3, 123) = 123

GCD(3, 123) = ( 3 x 123 ) / 123

GCD(3, 123) = 369 / 123

GCD(3, 123) = 3

GCD of 681, 402, 39, 123 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 519, 440, 14, 160
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• GCD of 259, 881, 48, 392

1. What is the GCD of 681, 402, 39, 123?

GCD of 681, 402, 39, 123 is 3

2. Where do I get the detailed procedure to find GCD of 681, 402, 39, 123?

You can find a detailed procedure to find GCD of 681, 402, 39, 123 on our page.

3. How to find GCD of 681, 402, 39, 123 on a calculator?

You can find the GCD of 681, 402, 39, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.