GCD of 77, 784, 466, 520 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 77, 784, 466, 520 i.e. 1 largest integer that divides all the numbers equally.

GCD of 77, 784, 466, 520 is 1

GCD(77, 784, 466, 520) = 1

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

GCD of

GCD of numbers 77, 784, 466, 520 is 1

GCD(77, 784, 466, 520) = 1

GCD of 77,784,466,520 Calculator

GCDof 77,784,466,520 is 1

Given Input numbers are 77, 784, 466, 520

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

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

Greatest Common Divisior

We found the divisors of 77, 784, 466, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 784, 466, 520 is 1.

Therefore, GCD of numbers 77, 784, 466, 520 is 1

Finding GCD of 77, 784, 466, 520 using Prime Factorization

Given Input Data is 77, 784, 466, 520

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 466 is 2 x 233

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

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

Finding GCD of 77, 784, 466, 520 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(77, 784) = 8624

GCD(77, 784) = ( 77 x 784 ) / 8624

GCD(77, 784) = 60368 / 8624

GCD(77, 784) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 466

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

LCM(7, 466) = 3262

GCD(7, 466) = ( 7 x 466 ) / 3262

GCD(7, 466) = 3262 / 3262

GCD(7, 466) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

GCD of 77, 784, 466, 520 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 77, 784, 466, 520

1. What is the GCD of 77, 784, 466, 520?

GCD of 77, 784, 466, 520 is 1


2. Where do I get the detailed procedure to find GCD of 77, 784, 466, 520?

You can find a detailed procedure to find GCD of 77, 784, 466, 520 on our page.


3. How to find GCD of 77, 784, 466, 520 on a calculator?

You can find the GCD of 77, 784, 466, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.