GCD of 385, 523, 91, 722 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 385, 523, 91, 722 i.e. 1 largest integer that divides all the numbers equally.

GCD of 385, 523, 91, 722 is 1

GCD(385, 523, 91, 722) = 1

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

GCD of

GCD of numbers 385, 523, 91, 722 is 1

GCD(385, 523, 91, 722) = 1

GCD of 385,523,91,722 Calculator

GCDof 385,523,91,722 is 1

Given Input numbers are 385, 523, 91, 722

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

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 385, 523, 91, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 523, 91, 722 is 1.

Therefore, GCD of numbers 385, 523, 91, 722 is 1

Finding GCD of 385, 523, 91, 722 using Prime Factorization

Given Input Data is 385, 523, 91, 722

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

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 523 is 523

Prime Factorization of 91 is 7 x 13

Prime Factorization of 722 is 2 x 19 x 19

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

Finding GCD of 385, 523, 91, 722 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(385, 523) = 201355

GCD(385, 523) = ( 385 x 523 ) / 201355

GCD(385, 523) = 201355 / 201355

GCD(385, 523) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 91

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

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

GCD(1, 91) = 91 / 91

GCD(1, 91) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

GCD of 385, 523, 91, 722 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 385, 523, 91, 722

1. What is the GCD of 385, 523, 91, 722?

GCD of 385, 523, 91, 722 is 1


2. Where do I get the detailed procedure to find GCD of 385, 523, 91, 722?

You can find a detailed procedure to find GCD of 385, 523, 91, 722 on our page.


3. How to find GCD of 385, 523, 91, 722 on a calculator?

You can find the GCD of 385, 523, 91, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.