GCD of 544, 706, 14, 114 Calculator

Given Input numbers are 544, 706, 14, 114

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

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 14

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

1, 2, 7, 14

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 544, 706, 14, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 544, 706, 14, 114 is 2.

Therefore, GCD of numbers 544, 706, 14, 114 is 2

Given Input Data is 544, 706, 14, 114

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

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 706 is 2 x 353

Prime Factorization of 14 is 2 x 7

Prime Factorization of 114 is 2 x 3 x 19

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(544, 706) = 192032

GCD(544, 706) = ( 544 x 706 ) / 192032

GCD(544, 706) = 384064 / 192032

GCD(544, 706) = 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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 114

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

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

GCD(2, 114) = 228 / 114

GCD(2, 114) = 2

GCD of 544, 706, 14, 114 is 2

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1. What is the GCD of 544, 706, 14, 114?

GCD of 544, 706, 14, 114 is 2

2. Where do I get the detailed procedure to find GCD of 544, 706, 14, 114?

You can find a detailed procedure to find GCD of 544, 706, 14, 114 on our page.

3. How to find GCD of 544, 706, 14, 114 on a calculator?

You can find the GCD of 544, 706, 14, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.