GCD of 14, 235, 468, 958 Calculator

Given Input numbers are 14, 235, 468, 958

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 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 14, 235, 468, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 235, 468, 958 is 1.

Therefore, GCD of numbers 14, 235, 468, 958 is 1

Given Input Data is 14, 235, 468, 958

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 235 is 5 x 47

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 958 is 2 x 479

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, 235) = 3290

GCD(14, 235) = ( 14 x 235 ) / 3290

GCD(14, 235) = 3290 / 3290

GCD(14, 235) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 14, 235, 468, 958 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 453, 781, 830
• GCD of 47, 986, 726, 839
• GCD of 15, 126, 382, 971
• GCD of 17, 202, 691, 479
• GCD of 12, 617, 751, 285

1. What is the GCD of 14, 235, 468, 958?

GCD of 14, 235, 468, 958 is 1

2. Where do I get the detailed procedure to find GCD of 14, 235, 468, 958?

You can find a detailed procedure to find GCD of 14, 235, 468, 958 on our page.

3. How to find GCD of 14, 235, 468, 958 on a calculator?

You can find the GCD of 14, 235, 468, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.