GCD of 89, 720, 357, 335 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 89, 720, 357, 335 i.e. 1 largest integer that divides all the numbers equally.

GCD of 89, 720, 357, 335 is 1

GCD(89, 720, 357, 335) = 1

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

GCD of

GCD of numbers 89, 720, 357, 335 is 1

GCD(89, 720, 357, 335) = 1

GCD of 89,720,357,335 Calculator

GCDof 89,720,357,335 is 1

Given Input numbers are 89, 720, 357, 335

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Greatest Common Divisior

We found the divisors of 89, 720, 357, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 720, 357, 335 is 1.

Therefore, GCD of numbers 89, 720, 357, 335 is 1

Finding GCD of 89, 720, 357, 335 using Prime Factorization

Given Input Data is 89, 720, 357, 335

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

Prime Factorization of 89 is 89

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 335 is 5 x 67

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

Finding GCD of 89, 720, 357, 335 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(89, 720) = 64080

GCD(89, 720) = ( 89 x 720 ) / 64080

GCD(89, 720) = 64080 / 64080

GCD(89, 720) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 335

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

LCM(1, 335) = 335

GCD(1, 335) = ( 1 x 335 ) / 335

GCD(1, 335) = 335 / 335

GCD(1, 335) = 1

GCD of 89, 720, 357, 335 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 89, 720, 357, 335

1. What is the GCD of 89, 720, 357, 335?

GCD of 89, 720, 357, 335 is 1


2. Where do I get the detailed procedure to find GCD of 89, 720, 357, 335?

You can find a detailed procedure to find GCD of 89, 720, 357, 335 on our page.


3. How to find GCD of 89, 720, 357, 335 on a calculator?

You can find the GCD of 89, 720, 357, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.