GCD of 14, 578, 435, 984 Calculator

Given Input numbers are 14, 578, 435, 984

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 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 14, 578, 435, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 578, 435, 984 is 1.

Therefore, GCD of numbers 14, 578, 435, 984 is 1

Given Input Data is 14, 578, 435, 984

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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, 578) = 4046

GCD(14, 578) = ( 14 x 578 ) / 4046

GCD(14, 578) = 8092 / 4046

GCD(14, 578) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 435

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

LCM(2, 435) = 870

GCD(2, 435) = ( 2 x 435 ) / 870

GCD(2, 435) = 870 / 870

GCD(2, 435) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 14, 578, 435, 984 is 1

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1. What is the GCD of 14, 578, 435, 984?

GCD of 14, 578, 435, 984 is 1

2. Where do I get the detailed procedure to find GCD of 14, 578, 435, 984?

You can find a detailed procedure to find GCD of 14, 578, 435, 984 on our page.

3. How to find GCD of 14, 578, 435, 984 on a calculator?

You can find the GCD of 14, 578, 435, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.