GCD of 701, 599, 998, 369 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 701, 599, 998, 369 i.e. 1 largest integer that divides all the numbers equally.

GCD of 701, 599, 998, 369 is 1

GCD(701, 599, 998, 369) = 1

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

GCD of

GCD of numbers 701, 599, 998, 369 is 1

GCD(701, 599, 998, 369) = 1

GCD of 701,599,998,369 Calculator

GCDof 701,599,998,369 is 1

Given Input numbers are 701, 599, 998, 369

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

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 701, 599, 998, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 701, 599, 998, 369 is 1.

Therefore, GCD of numbers 701, 599, 998, 369 is 1

Finding GCD of 701, 599, 998, 369 using Prime Factorization

Given Input Data is 701, 599, 998, 369

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

Prime Factorization of 701 is 701

Prime Factorization of 599 is 599

Prime Factorization of 998 is 2 x 499

Prime Factorization of 369 is 3 x 3 x 41

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

Finding GCD of 701, 599, 998, 369 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(701, 599) = 419899

GCD(701, 599) = ( 701 x 599 ) / 419899

GCD(701, 599) = 419899 / 419899

GCD(701, 599) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 701, 599, 998, 369 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 701, 599, 998, 369

1. What is the GCD of 701, 599, 998, 369?

GCD of 701, 599, 998, 369 is 1


2. Where do I get the detailed procedure to find GCD of 701, 599, 998, 369?

You can find a detailed procedure to find GCD of 701, 599, 998, 369 on our page.


3. How to find GCD of 701, 599, 998, 369 on a calculator?

You can find the GCD of 701, 599, 998, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.