GCD of 428, 984, 950, 783 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 428, 984, 950, 783 i.e. 1 largest integer that divides all the numbers equally.

GCD of 428, 984, 950, 783 is 1

GCD(428, 984, 950, 783) = 1

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

GCD of

GCD of numbers 428, 984, 950, 783 is 1

GCD(428, 984, 950, 783) = 1

GCD of 428,984,950,783 Calculator

GCDof 428,984,950,783 is 1

Given Input numbers are 428, 984, 950, 783

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

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

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Greatest Common Divisior

We found the divisors of 428, 984, 950, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 984, 950, 783 is 1.

Therefore, GCD of numbers 428, 984, 950, 783 is 1

Finding GCD of 428, 984, 950, 783 using Prime Factorization

Given Input Data is 428, 984, 950, 783

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

Prime Factorization of 428 is 2 x 2 x 107

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

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 783 is 3 x 3 x 3 x 29

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

Finding GCD of 428, 984, 950, 783 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(428, 984) = 105288

GCD(428, 984) = ( 428 x 984 ) / 105288

GCD(428, 984) = 421152 / 105288

GCD(428, 984) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 950

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

LCM(4, 950) = 1900

GCD(4, 950) = ( 4 x 950 ) / 1900

GCD(4, 950) = 3800 / 1900

GCD(4, 950) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 783

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

LCM(2, 783) = 1566

GCD(2, 783) = ( 2 x 783 ) / 1566

GCD(2, 783) = 1566 / 1566

GCD(2, 783) = 1

GCD of 428, 984, 950, 783 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 428, 984, 950, 783

1. What is the GCD of 428, 984, 950, 783?

GCD of 428, 984, 950, 783 is 1


2. Where do I get the detailed procedure to find GCD of 428, 984, 950, 783?

You can find a detailed procedure to find GCD of 428, 984, 950, 783 on our page.


3. How to find GCD of 428, 984, 950, 783 on a calculator?

You can find the GCD of 428, 984, 950, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.