GCD of 719, 120, 36, 707 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 719, 120, 36, 707 i.e. 1 largest integer that divides all the numbers equally.

GCD of 719, 120, 36, 707 is 1

GCD(719, 120, 36, 707) = 1

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

GCD of

GCD of numbers 719, 120, 36, 707 is 1

GCD(719, 120, 36, 707) = 1

GCD of 719,120,36,707 Calculator

GCDof 719,120,36,707 is 1

Given Input numbers are 719, 120, 36, 707

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

Divisors of 719

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

1, 719

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 719, 120, 36, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 719, 120, 36, 707 is 1.

Therefore, GCD of numbers 719, 120, 36, 707 is 1

Finding GCD of 719, 120, 36, 707 using Prime Factorization

Given Input Data is 719, 120, 36, 707

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

Prime Factorization of 719 is 719

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 707 is 7 x 101

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

Finding GCD of 719, 120, 36, 707 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(719, 120) = 86280

GCD(719, 120) = ( 719 x 120 ) / 86280

GCD(719, 120) = 86280 / 86280

GCD(719, 120) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 707

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

LCM(1, 707) = 707

GCD(1, 707) = ( 1 x 707 ) / 707

GCD(1, 707) = 707 / 707

GCD(1, 707) = 1

GCD of 719, 120, 36, 707 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 719, 120, 36, 707

1. What is the GCD of 719, 120, 36, 707?

GCD of 719, 120, 36, 707 is 1


2. Where do I get the detailed procedure to find GCD of 719, 120, 36, 707?

You can find a detailed procedure to find GCD of 719, 120, 36, 707 on our page.


3. How to find GCD of 719, 120, 36, 707 on a calculator?

You can find the GCD of 719, 120, 36, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.