GCD of 736, 978, 14 Calculator

Given Input numbers are 736, 978, 14

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 14

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

1, 2, 7, 14

Greatest Common Divisior

We found the divisors of 736, 978, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 978, 14 is 2.

Therefore, GCD of numbers 736, 978, 14 is 2

Given Input Data is 736, 978, 14

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 14 is 2 x 7

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(736, 978) = 359904

GCD(736, 978) = ( 736 x 978 ) / 359904

GCD(736, 978) = 719808 / 359904

GCD(736, 978) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

GCD of 736, 978, 14 is 2

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1. What is the GCD of 736, 978, 14?

GCD of 736, 978, 14 is 2

2. Where do I get the detailed procedure to find GCD of 736, 978, 14?

You can find a detailed procedure to find GCD of 736, 978, 14 on our page.

3. How to find GCD of 736, 978, 14 on a calculator?

You can find the GCD of 736, 978, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.