GCD of 987, 120, 284, 935 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 987, 120, 284, 935 i.e. 1 largest integer that divides all the numbers equally.

GCD of 987, 120, 284, 935 is 1

GCD(987, 120, 284, 935) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 987, 120, 284, 935 is 1

GCD(987, 120, 284, 935) = 1

GCD of 987,120,284,935 Calculator

GCDof 987,120,284,935 is 1

Given Input numbers are 987, 120, 284, 935

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

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

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 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Greatest Common Divisior

We found the divisors of 987, 120, 284, 935 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 120, 284, 935 is 1.

Therefore, GCD of numbers 987, 120, 284, 935 is 1

Finding GCD of 987, 120, 284, 935 using Prime Factorization

Given Input Data is 987, 120, 284, 935

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

Prime Factorization of 987 is 3 x 7 x 47

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 935 is 5 x 11 x 17

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 987, 120, 284, 935 using LCM Formula

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(987, 120) = 39480

GCD(987, 120) = ( 987 x 120 ) / 39480

GCD(987, 120) = 118440 / 39480

GCD(987, 120) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 284

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

LCM(3, 284) = 852

GCD(3, 284) = ( 3 x 284 ) / 852

GCD(3, 284) = 852 / 852

GCD(3, 284) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 935

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

LCM(1, 935) = 935

GCD(1, 935) = ( 1 x 935 ) / 935

GCD(1, 935) = 935 / 935

GCD(1, 935) = 1

GCD of 987, 120, 284, 935 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 987, 120, 284, 935

1. What is the GCD of 987, 120, 284, 935?

GCD of 987, 120, 284, 935 is 1


2. Where do I get the detailed procedure to find GCD of 987, 120, 284, 935?

You can find a detailed procedure to find GCD of 987, 120, 284, 935 on our page.


3. How to find GCD of 987, 120, 284, 935 on a calculator?

You can find the GCD of 987, 120, 284, 935 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.