GCD of 520, 346, 194, 169 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 520, 346, 194, 169 i.e. 1 largest integer that divides all the numbers equally.

GCD of 520, 346, 194, 169 is 1

GCD(520, 346, 194, 169) = 1

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

GCD of

GCD of numbers 520, 346, 194, 169 is 1

GCD(520, 346, 194, 169) = 1

GCD of 520,346,194,169 Calculator

GCDof 520,346,194,169 is 1

Given Input numbers are 520, 346, 194, 169

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

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 520, 346, 194, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 346, 194, 169 is 1.

Therefore, GCD of numbers 520, 346, 194, 169 is 1

Finding GCD of 520, 346, 194, 169 using Prime Factorization

Given Input Data is 520, 346, 194, 169

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

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 346 is 2 x 173

Prime Factorization of 194 is 2 x 97

Prime Factorization of 169 is 13 x 13

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

Finding GCD of 520, 346, 194, 169 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(520, 346) = 89960

GCD(520, 346) = ( 520 x 346 ) / 89960

GCD(520, 346) = 179920 / 89960

GCD(520, 346) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 194

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

LCM(2, 194) = 194

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

GCD(2, 194) = 388 / 194

GCD(2, 194) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 169

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

LCM(2, 169) = 338

GCD(2, 169) = ( 2 x 169 ) / 338

GCD(2, 169) = 338 / 338

GCD(2, 169) = 1

GCD of 520, 346, 194, 169 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 520, 346, 194, 169

1. What is the GCD of 520, 346, 194, 169?

GCD of 520, 346, 194, 169 is 1


2. Where do I get the detailed procedure to find GCD of 520, 346, 194, 169?

You can find a detailed procedure to find GCD of 520, 346, 194, 169 on our page.


3. How to find GCD of 520, 346, 194, 169 on a calculator?

You can find the GCD of 520, 346, 194, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.