GCD of 104, 302, 709, 390 Calculator

Given Input numbers are 104, 302, 709, 390

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 104, 302, 709, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 302, 709, 390 is 1.

Therefore, GCD of numbers 104, 302, 709, 390 is 1

Given Input Data is 104, 302, 709, 390

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 302 is 2 x 151

Prime Factorization of 709 is 709

Prime Factorization of 390 is 2 x 3 x 5 x 13

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(104, 302) = 15704

GCD(104, 302) = ( 104 x 302 ) / 15704

GCD(104, 302) = 31408 / 15704

GCD(104, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 709

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

LCM(2, 709) = 1418

GCD(2, 709) = ( 2 x 709 ) / 1418

GCD(2, 709) = 1418 / 1418

GCD(2, 709) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

GCD of 104, 302, 709, 390 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 746, 396, 407, 986
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• GCD of 605, 909, 443, 489
• GCD of 799, 708, 358, 554
• GCD of 705, 338, 274, 803

1. What is the GCD of 104, 302, 709, 390?

GCD of 104, 302, 709, 390 is 1

2. Where do I get the detailed procedure to find GCD of 104, 302, 709, 390?

You can find a detailed procedure to find GCD of 104, 302, 709, 390 on our page.

3. How to find GCD of 104, 302, 709, 390 on a calculator?

You can find the GCD of 104, 302, 709, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.