GCD of 357, 306, 14, 529 Calculator

Given Input numbers are 357, 306, 14, 529

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 14

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

1, 2, 7, 14

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Greatest Common Divisior

We found the divisors of 357, 306, 14, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 306, 14, 529 is 1.

Therefore, GCD of numbers 357, 306, 14, 529 is 1

Given Input Data is 357, 306, 14, 529

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 14 is 2 x 7

Prime Factorization of 529 is 23 x 23

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(357, 306) = 2142

GCD(357, 306) = ( 357 x 306 ) / 2142

GCD(357, 306) = 109242 / 2142

GCD(357, 306) = 51

Step2:

Here we consider the GCD from the above i.e. 51 as first number and the next as 14

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

LCM(51, 14) = 714

GCD(51, 14) = ( 51 x 14 ) / 714

GCD(51, 14) = 714 / 714

GCD(51, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 529

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

LCM(1, 529) = 529

GCD(1, 529) = ( 1 x 529 ) / 529

GCD(1, 529) = 529 / 529

GCD(1, 529) = 1

GCD of 357, 306, 14, 529 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 115, 47, 103
• GCD of 730, 263, 74, 297
• GCD of 760, 960, 24, 716
• GCD of 501, 239, 28, 789
• GCD of 766, 301, 70, 702

1. What is the GCD of 357, 306, 14, 529?

GCD of 357, 306, 14, 529 is 1

2. Where do I get the detailed procedure to find GCD of 357, 306, 14, 529?

You can find a detailed procedure to find GCD of 357, 306, 14, 529 on our page.

3. How to find GCD of 357, 306, 14, 529 on a calculator?

You can find the GCD of 357, 306, 14, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.