GCD of 494, 434, 97, 770 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 494, 434, 97, 770 i.e. 1 largest integer that divides all the numbers equally.

GCD of 494, 434, 97, 770 is 1

GCD(494, 434, 97, 770) = 1

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

GCD of

GCD of numbers 494, 434, 97, 770 is 1

GCD(494, 434, 97, 770) = 1

GCD of 494,434,97,770 Calculator

GCDof 494,434,97,770 is 1

Given Input numbers are 494, 434, 97, 770

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

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 494, 434, 97, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 434, 97, 770 is 1.

Therefore, GCD of numbers 494, 434, 97, 770 is 1

Finding GCD of 494, 434, 97, 770 using Prime Factorization

Given Input Data is 494, 434, 97, 770

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

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 97 is 97

Prime Factorization of 770 is 2 x 5 x 7 x 11

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

Finding GCD of 494, 434, 97, 770 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(494, 434) = 107198

GCD(494, 434) = ( 494 x 434 ) / 107198

GCD(494, 434) = 214396 / 107198

GCD(494, 434) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 97

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

LCM(2, 97) = 194

GCD(2, 97) = ( 2 x 97 ) / 194

GCD(2, 97) = 194 / 194

GCD(2, 97) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 770

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

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

GCD(1, 770) = 770 / 770

GCD(1, 770) = 1

GCD of 494, 434, 97, 770 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 494, 434, 97, 770

1. What is the GCD of 494, 434, 97, 770?

GCD of 494, 434, 97, 770 is 1


2. Where do I get the detailed procedure to find GCD of 494, 434, 97, 770?

You can find a detailed procedure to find GCD of 494, 434, 97, 770 on our page.


3. How to find GCD of 494, 434, 97, 770 on a calculator?

You can find the GCD of 494, 434, 97, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.