GCD of 520, 354, 940, 495 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, 354, 940, 495 i.e. 1 largest integer that divides all the numbers equally.

GCD of 520, 354, 940, 495 is 1

GCD(520, 354, 940, 495) = 1

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

GCD of

GCD of numbers 520, 354, 940, 495 is 1

GCD(520, 354, 940, 495) = 1

GCD of 520,354,940,495 Calculator

GCDof 520,354,940,495 is 1

Given Input numbers are 520, 354, 940, 495

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 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Greatest Common Divisior

We found the divisors of 520, 354, 940, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 354, 940, 495 is 1.

Therefore, GCD of numbers 520, 354, 940, 495 is 1

Finding GCD of 520, 354, 940, 495 using Prime Factorization

Given Input Data is 520, 354, 940, 495

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 354 is 2 x 3 x 59

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 495 is 3 x 3 x 5 x 11

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

Finding GCD of 520, 354, 940, 495 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, 354) = 92040

GCD(520, 354) = ( 520 x 354 ) / 92040

GCD(520, 354) = 184080 / 92040

GCD(520, 354) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 940

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

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

GCD(2, 940) = 1880 / 940

GCD(2, 940) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 495

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

LCM(2, 495) = 990

GCD(2, 495) = ( 2 x 495 ) / 990

GCD(2, 495) = 990 / 990

GCD(2, 495) = 1

GCD of 520, 354, 940, 495 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 520, 354, 940, 495

1. What is the GCD of 520, 354, 940, 495?

GCD of 520, 354, 940, 495 is 1


2. Where do I get the detailed procedure to find GCD of 520, 354, 940, 495?

You can find a detailed procedure to find GCD of 520, 354, 940, 495 on our page.


3. How to find GCD of 520, 354, 940, 495 on a calculator?

You can find the GCD of 520, 354, 940, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.