GCD of 460, 982, 14, 469 Calculator

Given Input numbers are 460, 982, 14, 469

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 14

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

1, 2, 7, 14

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 460, 982, 14, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 982, 14, 469 is 1.

Therefore, GCD of numbers 460, 982, 14, 469 is 1

Given Input Data is 460, 982, 14, 469

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 982 is 2 x 491

Prime Factorization of 14 is 2 x 7

Prime Factorization of 469 is 7 x 67

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(460, 982) = 225860

GCD(460, 982) = ( 460 x 982 ) / 225860

GCD(460, 982) = 451720 / 225860

GCD(460, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 469

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

LCM(2, 469) = 938

GCD(2, 469) = ( 2 x 469 ) / 938

GCD(2, 469) = 938 / 938

GCD(2, 469) = 1

GCD of 460, 982, 14, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 205, 382, 65, 365
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• GCD of 929, 201, 38, 849

1. What is the GCD of 460, 982, 14, 469?

GCD of 460, 982, 14, 469 is 1

2. Where do I get the detailed procedure to find GCD of 460, 982, 14, 469?

You can find a detailed procedure to find GCD of 460, 982, 14, 469 on our page.

3. How to find GCD of 460, 982, 14, 469 on a calculator?

You can find the GCD of 460, 982, 14, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.