GCD of 720, 962, 92, 349 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 720, 962, 92, 349 i.e. 1 largest integer that divides all the numbers equally.

GCD of 720, 962, 92, 349 is 1

GCD(720, 962, 92, 349) = 1

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

GCD of

GCD of numbers 720, 962, 92, 349 is 1

GCD(720, 962, 92, 349) = 1

GCD of 720,962,92,349 Calculator

GCDof 720,962,92,349 is 1

Given Input numbers are 720, 962, 92, 349

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

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 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 720, 962, 92, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 962, 92, 349 is 1.

Therefore, GCD of numbers 720, 962, 92, 349 is 1

Finding GCD of 720, 962, 92, 349 using Prime Factorization

Given Input Data is 720, 962, 92, 349

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

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

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 349 is 349

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

Finding GCD of 720, 962, 92, 349 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(720, 962) = 346320

GCD(720, 962) = ( 720 x 962 ) / 346320

GCD(720, 962) = 692640 / 346320

GCD(720, 962) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 92

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

LCM(2, 92) = 92

GCD(2, 92) = ( 2 x 92 ) / 92

GCD(2, 92) = 184 / 92

GCD(2, 92) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 349

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

LCM(2, 349) = 698

GCD(2, 349) = ( 2 x 349 ) / 698

GCD(2, 349) = 698 / 698

GCD(2, 349) = 1

GCD of 720, 962, 92, 349 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 720, 962, 92, 349

1. What is the GCD of 720, 962, 92, 349?

GCD of 720, 962, 92, 349 is 1


2. Where do I get the detailed procedure to find GCD of 720, 962, 92, 349?

You can find a detailed procedure to find GCD of 720, 962, 92, 349 on our page.


3. How to find GCD of 720, 962, 92, 349 on a calculator?

You can find the GCD of 720, 962, 92, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.