GCD of 364, 206, 77, 719 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 364, 206, 77, 719 i.e. 1 largest integer that divides all the numbers equally.

GCD of 364, 206, 77, 719 is 1

GCD(364, 206, 77, 719) = 1

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

GCD of

GCD of numbers 364, 206, 77, 719 is 1

GCD(364, 206, 77, 719) = 1

GCD of 364,206,77,719 Calculator

GCDof 364,206,77,719 is 1

Given Input numbers are 364, 206, 77, 719

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Greatest Common Divisior

We found the divisors of 364, 206, 77, 719 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 206, 77, 719 is 1.

Therefore, GCD of numbers 364, 206, 77, 719 is 1

Finding GCD of 364, 206, 77, 719 using Prime Factorization

Given Input Data is 364, 206, 77, 719

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 206 is 2 x 103

Prime Factorization of 77 is 7 x 11

Prime Factorization of 719 is 719

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

Finding GCD of 364, 206, 77, 719 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(364, 206) = 37492

GCD(364, 206) = ( 364 x 206 ) / 37492

GCD(364, 206) = 74984 / 37492

GCD(364, 206) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 719

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

LCM(1, 719) = 719

GCD(1, 719) = ( 1 x 719 ) / 719

GCD(1, 719) = 719 / 719

GCD(1, 719) = 1

GCD of 364, 206, 77, 719 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 364, 206, 77, 719

1. What is the GCD of 364, 206, 77, 719?

GCD of 364, 206, 77, 719 is 1


2. Where do I get the detailed procedure to find GCD of 364, 206, 77, 719?

You can find a detailed procedure to find GCD of 364, 206, 77, 719 on our page.


3. How to find GCD of 364, 206, 77, 719 on a calculator?

You can find the GCD of 364, 206, 77, 719 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.