GCD of 435, 106, 33, 984 Calculator

Given Input numbers are 435, 106, 33, 984

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

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 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

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 435, 106, 33, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 106, 33, 984 is 1.

Therefore, GCD of numbers 435, 106, 33, 984 is 1

Given Input Data is 435, 106, 33, 984

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

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 106 is 2 x 53

Prime Factorization of 33 is 3 x 11

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(435, 106) = 46110

GCD(435, 106) = ( 435 x 106 ) / 46110

GCD(435, 106) = 46110 / 46110

GCD(435, 106) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 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 435, 106, 33, 984 is 1

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1. What is the GCD of 435, 106, 33, 984?

GCD of 435, 106, 33, 984 is 1

2. Where do I get the detailed procedure to find GCD of 435, 106, 33, 984?

You can find a detailed procedure to find GCD of 435, 106, 33, 984 on our page.

3. How to find GCD of 435, 106, 33, 984 on a calculator?

You can find the GCD of 435, 106, 33, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.