GCD of 967, 842, 125, 990 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 967, 842, 125, 990 i.e. 1 largest integer that divides all the numbers equally.

GCD of 967, 842, 125, 990 is 1

GCD(967, 842, 125, 990) = 1

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

GCD of

GCD of numbers 967, 842, 125, 990 is 1

GCD(967, 842, 125, 990) = 1

GCD of 967,842,125,990 Calculator

GCDof 967,842,125,990 is 1

Given Input numbers are 967, 842, 125, 990

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

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 967, 842, 125, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 842, 125, 990 is 1.

Therefore, GCD of numbers 967, 842, 125, 990 is 1

Finding GCD of 967, 842, 125, 990 using Prime Factorization

Given Input Data is 967, 842, 125, 990

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

Prime Factorization of 967 is 967

Prime Factorization of 842 is 2 x 421

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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

Finding GCD of 967, 842, 125, 990 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(967, 842) = 814214

GCD(967, 842) = ( 967 x 842 ) / 814214

GCD(967, 842) = 814214 / 814214

GCD(967, 842) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 967, 842, 125, 990 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 967, 842, 125, 990

1. What is the GCD of 967, 842, 125, 990?

GCD of 967, 842, 125, 990 is 1


2. Where do I get the detailed procedure to find GCD of 967, 842, 125, 990?

You can find a detailed procedure to find GCD of 967, 842, 125, 990 on our page.


3. How to find GCD of 967, 842, 125, 990 on a calculator?

You can find the GCD of 967, 842, 125, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.