GCD of 14, 529, 364, 698 Calculator

Given Input numbers are 14, 529, 364, 698

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

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 14, 529, 364, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 529, 364, 698 is 1.

Therefore, GCD of numbers 14, 529, 364, 698 is 1

Given Input Data is 14, 529, 364, 698

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 529 is 23 x 23

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 698 is 2 x 349

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(14, 529) = 7406

GCD(14, 529) = ( 14 x 529 ) / 7406

GCD(14, 529) = 7406 / 7406

GCD(14, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 14, 529, 364, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 327, 304, 835
• GCD of 87, 308, 955, 117
• GCD of 14, 115, 414, 988
• GCD of 74, 759, 900, 919
• GCD of 69, 365, 625, 160

1. What is the GCD of 14, 529, 364, 698?

GCD of 14, 529, 364, 698 is 1

2. Where do I get the detailed procedure to find GCD of 14, 529, 364, 698?

You can find a detailed procedure to find GCD of 14, 529, 364, 698 on our page.

3. How to find GCD of 14, 529, 364, 698 on a calculator?

You can find the GCD of 14, 529, 364, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.