GCD of 120, 781, 33, 981 Calculator

Given Input numbers are 120, 781, 33, 981

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Divisors of 33

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

1, 3, 11, 33

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Greatest Common Divisior

We found the divisors of 120, 781, 33, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 781, 33, 981 is 1.

Therefore, GCD of numbers 120, 781, 33, 981 is 1

Given Input Data is 120, 781, 33, 981

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 781 is 11 x 71

Prime Factorization of 33 is 3 x 11

Prime Factorization of 981 is 3 x 3 x 109

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(120, 781) = 93720

GCD(120, 781) = ( 120 x 781 ) / 93720

GCD(120, 781) = 93720 / 93720

GCD(120, 781) = 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 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

GCD of 120, 781, 33, 981 is 1

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1. What is the GCD of 120, 781, 33, 981?

GCD of 120, 781, 33, 981 is 1

2. Where do I get the detailed procedure to find GCD of 120, 781, 33, 981?

You can find a detailed procedure to find GCD of 120, 781, 33, 981 on our page.

3. How to find GCD of 120, 781, 33, 981 on a calculator?

You can find the GCD of 120, 781, 33, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.