GCD of 996, 262, 125, 608 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, 262, 125, 608 i.e. 1 largest integer that divides all the numbers equally.

GCD of 996, 262, 125, 608 is 1

GCD(996, 262, 125, 608) = 1

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

GCD of

GCD of numbers 996, 262, 125, 608 is 1

GCD(996, 262, 125, 608) = 1

GCD of 996,262,125,608 Calculator

GCDof 996,262,125,608 is 1

Given Input numbers are 996, 262, 125, 608

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 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 125

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

1, 5, 25, 125

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 996, 262, 125, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 262, 125, 608 is 1.

Therefore, GCD of numbers 996, 262, 125, 608 is 1

Finding GCD of 996, 262, 125, 608 using Prime Factorization

Given Input Data is 996, 262, 125, 608

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 262 is 2 x 131

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

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

Finding GCD of 996, 262, 125, 608 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, 262) = 130476

GCD(996, 262) = ( 996 x 262 ) / 130476

GCD(996, 262) = 260952 / 130476

GCD(996, 262) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 125

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

LCM(2, 125) = 250

GCD(2, 125) = ( 2 x 125 ) / 250

GCD(2, 125) = 250 / 250

GCD(2, 125) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 608

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

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

GCD(1, 608) = 608 / 608

GCD(1, 608) = 1

GCD of 996, 262, 125, 608 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 996, 262, 125, 608

1. What is the GCD of 996, 262, 125, 608?

GCD of 996, 262, 125, 608 is 1


2. Where do I get the detailed procedure to find GCD of 996, 262, 125, 608?

You can find a detailed procedure to find GCD of 996, 262, 125, 608 on our page.


3. How to find GCD of 996, 262, 125, 608 on a calculator?

You can find the GCD of 996, 262, 125, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.