GCD of 706, 538, 14, 135 Calculator

Given Input numbers are 706, 538, 14, 135

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

Divisors of 706

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

1, 2, 353, 706

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 14

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

1, 2, 7, 14

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 706, 538, 14, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 538, 14, 135 is 1.

Therefore, GCD of numbers 706, 538, 14, 135 is 1

Given Input Data is 706, 538, 14, 135

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 538 is 2 x 269

Prime Factorization of 14 is 2 x 7

Prime Factorization of 135 is 3 x 3 x 3 x 5

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(706, 538) = 189914

GCD(706, 538) = ( 706 x 538 ) / 189914

GCD(706, 538) = 379828 / 189914

GCD(706, 538) = 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 135

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

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

GCD(2, 135) = 270 / 270

GCD(2, 135) = 1

GCD of 706, 538, 14, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 130, 12, 222
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• GCD of 234, 163, 79, 941

1. What is the GCD of 706, 538, 14, 135?

GCD of 706, 538, 14, 135 is 1

2. Where do I get the detailed procedure to find GCD of 706, 538, 14, 135?

You can find a detailed procedure to find GCD of 706, 538, 14, 135 on our page.

3. How to find GCD of 706, 538, 14, 135 on a calculator?

You can find the GCD of 706, 538, 14, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.