GCD of 156, 826, 14, 291 Calculator

Given Input numbers are 156, 826, 14, 291

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 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 14

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

1, 2, 7, 14

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Greatest Common Divisior

We found the divisors of 156, 826, 14, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 826, 14, 291 is 1.

Therefore, GCD of numbers 156, 826, 14, 291 is 1

Given Input Data is 156, 826, 14, 291

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 826 is 2 x 7 x 59

Prime Factorization of 14 is 2 x 7

Prime Factorization of 291 is 3 x 97

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, 826) = 64428

GCD(156, 826) = ( 156 x 826 ) / 64428

GCD(156, 826) = 128856 / 64428

GCD(156, 826) = 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 291

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

LCM(2, 291) = 582

GCD(2, 291) = ( 2 x 291 ) / 582

GCD(2, 291) = 582 / 582

GCD(2, 291) = 1

GCD of 156, 826, 14, 291 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 132, 44, 581
• GCD of 198, 226, 74, 916
• GCD of 222, 227, 93, 229
• GCD of 178, 513, 83, 656
• GCD of 118, 789, 69, 892

1. What is the GCD of 156, 826, 14, 291?

GCD of 156, 826, 14, 291 is 1

2. Where do I get the detailed procedure to find GCD of 156, 826, 14, 291?

You can find a detailed procedure to find GCD of 156, 826, 14, 291 on our page.

3. How to find GCD of 156, 826, 14, 291 on a calculator?

You can find the GCD of 156, 826, 14, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.