GCD of 708, 954, 14, 104 Calculator

Given Input numbers are 708, 954, 14, 104

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 104

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

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

Greatest Common Divisior

We found the divisors of 708, 954, 14, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 954, 14, 104 is 2.

Therefore, GCD of numbers 708, 954, 14, 104 is 2

Given Input Data is 708, 954, 14, 104

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 14 is 2 x 7

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(708, 954) = 112572

GCD(708, 954) = ( 708 x 954 ) / 112572

GCD(708, 954) = 675432 / 112572

GCD(708, 954) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 14

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

LCM(6, 14) = 42

GCD(6, 14) = ( 6 x 14 ) / 42

GCD(6, 14) = 84 / 42

GCD(6, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 104

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

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

GCD(2, 104) = 208 / 104

GCD(2, 104) = 2

GCD of 708, 954, 14, 104 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 560, 29, 926
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• GCD of 580, 739, 72, 989
• GCD of 452, 320, 91, 615
• GCD of 418, 476, 84, 751

1. What is the GCD of 708, 954, 14, 104?

GCD of 708, 954, 14, 104 is 2

2. Where do I get the detailed procedure to find GCD of 708, 954, 14, 104?

You can find a detailed procedure to find GCD of 708, 954, 14, 104 on our page.

3. How to find GCD of 708, 954, 14, 104 on a calculator?

You can find the GCD of 708, 954, 14, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.