GCD of 824, 766, 47, 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 824, 766, 47, 770 i.e. 1 largest integer that divides all the numbers equally.

GCD of 824, 766, 47, 770 is 1

GCD(824, 766, 47, 770) = 1

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

GCD of

GCD of numbers 824, 766, 47, 770 is 1

GCD(824, 766, 47, 770) = 1

GCD of 824,766,47,770 Calculator

GCDof 824,766,47,770 is 1

Given Input numbers are 824, 766, 47, 770

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

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 824, 766, 47, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 766, 47, 770 is 1.

Therefore, GCD of numbers 824, 766, 47, 770 is 1

Finding GCD of 824, 766, 47, 770 using Prime Factorization

Given Input Data is 824, 766, 47, 770

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 766 is 2 x 383

Prime Factorization of 47 is 47

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 824, 766, 47, 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(824, 766) = 315592

GCD(824, 766) = ( 824 x 766 ) / 315592

GCD(824, 766) = 631184 / 315592

GCD(824, 766) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 47

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

LCM(2, 47) = 94

GCD(2, 47) = ( 2 x 47 ) / 94

GCD(2, 47) = 94 / 94

GCD(2, 47) = 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 824, 766, 47, 770 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 824, 766, 47, 770

1. What is the GCD of 824, 766, 47, 770?

GCD of 824, 766, 47, 770 is 1


2. Where do I get the detailed procedure to find GCD of 824, 766, 47, 770?

You can find a detailed procedure to find GCD of 824, 766, 47, 770 on our page.


3. How to find GCD of 824, 766, 47, 770 on a calculator?

You can find the GCD of 824, 766, 47, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.