GCD of 996, 470, 99, 967 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 996, 470, 99, 967 i.e. 1 largest integer that divides all the numbers equally.

GCD of 996, 470, 99, 967 is 1

GCD(996, 470, 99, 967) = 1

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

GCD of

GCD of numbers 996, 470, 99, 967 is 1

GCD(996, 470, 99, 967) = 1

GCD of 996,470,99,967 Calculator

GCDof 996,470,99,967 is 1

Given Input numbers are 996, 470, 99, 967

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 967

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

1, 967

Greatest Common Divisior

We found the divisors of 996, 470, 99, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 470, 99, 967 is 1.

Therefore, GCD of numbers 996, 470, 99, 967 is 1

Finding GCD of 996, 470, 99, 967 using Prime Factorization

Given Input Data is 996, 470, 99, 967

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 967 is 967

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

Finding GCD of 996, 470, 99, 967 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(996, 470) = 234060

GCD(996, 470) = ( 996 x 470 ) / 234060

GCD(996, 470) = 468120 / 234060

GCD(996, 470) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 967

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

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

GCD(1, 967) = 967 / 967

GCD(1, 967) = 1

GCD of 996, 470, 99, 967 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 996, 470, 99, 967

1. What is the GCD of 996, 470, 99, 967?

GCD of 996, 470, 99, 967 is 1


2. Where do I get the detailed procedure to find GCD of 996, 470, 99, 967?

You can find a detailed procedure to find GCD of 996, 470, 99, 967 on our page.


3. How to find GCD of 996, 470, 99, 967 on a calculator?

You can find the GCD of 996, 470, 99, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.