GCD of 14, 338, 870, 567 Calculator

Given Input numbers are 14, 338, 870, 567

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 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Greatest Common Divisior

We found the divisors of 14, 338, 870, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 338, 870, 567 is 1.

Therefore, GCD of numbers 14, 338, 870, 567 is 1

Given Input Data is 14, 338, 870, 567

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

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, 338) = 2366

GCD(14, 338) = ( 14 x 338 ) / 2366

GCD(14, 338) = 4732 / 2366

GCD(14, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 870

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

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

GCD(2, 870) = 1740 / 870

GCD(2, 870) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 567

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

LCM(2, 567) = 1134

GCD(2, 567) = ( 2 x 567 ) / 1134

GCD(2, 567) = 1134 / 1134

GCD(2, 567) = 1

GCD of 14, 338, 870, 567 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 98, 983, 146, 768
• GCD of 58, 844, 572, 435
• GCD of 25, 174, 927, 169
• GCD of 90, 709, 163, 854
• GCD of 84, 703, 579, 189

1. What is the GCD of 14, 338, 870, 567?

GCD of 14, 338, 870, 567 is 1

2. Where do I get the detailed procedure to find GCD of 14, 338, 870, 567?

You can find a detailed procedure to find GCD of 14, 338, 870, 567 on our page.

3. How to find GCD of 14, 338, 870, 567 on a calculator?

You can find the GCD of 14, 338, 870, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.