GCD of 14, 822, 700, 829 Calculator

Given Input numbers are 14, 822, 700, 829

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 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 14, 822, 700, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 822, 700, 829 is 1.

Therefore, GCD of numbers 14, 822, 700, 829 is 1

Given Input Data is 14, 822, 700, 829

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 829 is 829

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, 822) = 5754

GCD(14, 822) = ( 14 x 822 ) / 5754

GCD(14, 822) = 11508 / 5754

GCD(14, 822) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 700

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

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

GCD(2, 700) = 1400 / 700

GCD(2, 700) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 829

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

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

GCD(2, 829) = 1658 / 1658

GCD(2, 829) = 1

GCD of 14, 822, 700, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 395, 512, 958
• GCD of 91, 135, 255, 417
• GCD of 78, 973, 505, 247
• GCD of 29, 832, 884, 133
• GCD of 15, 347, 961, 486

1. What is the GCD of 14, 822, 700, 829?

GCD of 14, 822, 700, 829 is 1

2. Where do I get the detailed procedure to find GCD of 14, 822, 700, 829?

You can find a detailed procedure to find GCD of 14, 822, 700, 829 on our page.

3. How to find GCD of 14, 822, 700, 829 on a calculator?

You can find the GCD of 14, 822, 700, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.