GCD of 90, 913, 716, 994 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 90, 913, 716, 994 i.e. 1 largest integer that divides all the numbers equally.

GCD of 90, 913, 716, 994 is 1

GCD(90, 913, 716, 994) = 1

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

GCD of

GCD of numbers 90, 913, 716, 994 is 1

GCD(90, 913, 716, 994) = 1

GCD of 90,913,716,994 Calculator

GCDof 90,913,716,994 is 1

Given Input numbers are 90, 913, 716, 994

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 90, 913, 716, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 913, 716, 994 is 1.

Therefore, GCD of numbers 90, 913, 716, 994 is 1

Finding GCD of 90, 913, 716, 994 using Prime Factorization

Given Input Data is 90, 913, 716, 994

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 913 is 11 x 83

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 994 is 2 x 7 x 71

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

Finding GCD of 90, 913, 716, 994 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(90, 913) = 82170

GCD(90, 913) = ( 90 x 913 ) / 82170

GCD(90, 913) = 82170 / 82170

GCD(90, 913) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 90, 913, 716, 994 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 90, 913, 716, 994

1. What is the GCD of 90, 913, 716, 994?

GCD of 90, 913, 716, 994 is 1


2. Where do I get the detailed procedure to find GCD of 90, 913, 716, 994?

You can find a detailed procedure to find GCD of 90, 913, 716, 994 on our page.


3. How to find GCD of 90, 913, 716, 994 on a calculator?

You can find the GCD of 90, 913, 716, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.