GCD of 156, 660, 14, 703 Calculator

Given Input numbers are 156, 660, 14, 703

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

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 14

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

1, 2, 7, 14

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Greatest Common Divisior

We found the divisors of 156, 660, 14, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 660, 14, 703 is 1.

Therefore, GCD of numbers 156, 660, 14, 703 is 1

Given Input Data is 156, 660, 14, 703

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 14 is 2 x 7

Prime Factorization of 703 is 19 x 37

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(156, 660) = 8580

GCD(156, 660) = ( 156 x 660 ) / 8580

GCD(156, 660) = 102960 / 8580

GCD(156, 660) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 14

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

LCM(12, 14) = 84

GCD(12, 14) = ( 12 x 14 ) / 84

GCD(12, 14) = 168 / 84

GCD(12, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 703

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

LCM(2, 703) = 1406

GCD(2, 703) = ( 2 x 703 ) / 1406

GCD(2, 703) = 1406 / 1406

GCD(2, 703) = 1

GCD of 156, 660, 14, 703 is 1

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1. What is the GCD of 156, 660, 14, 703?

GCD of 156, 660, 14, 703 is 1

2. Where do I get the detailed procedure to find GCD of 156, 660, 14, 703?

You can find a detailed procedure to find GCD of 156, 660, 14, 703 on our page.

3. How to find GCD of 156, 660, 14, 703 on a calculator?

You can find the GCD of 156, 660, 14, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.