GCD of 823, 154, 77, 858 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 823, 154, 77, 858 i.e. 1 largest integer that divides all the numbers equally.

GCD of 823, 154, 77, 858 is 1

GCD(823, 154, 77, 858) = 1

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

GCD of

GCD of numbers 823, 154, 77, 858 is 1

GCD(823, 154, 77, 858) = 1

GCD of 823,154,77,858 Calculator

GCDof 823,154,77,858 is 1

Given Input numbers are 823, 154, 77, 858

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

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 77

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

1, 7, 11, 77

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Greatest Common Divisior

We found the divisors of 823, 154, 77, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 154, 77, 858 is 1.

Therefore, GCD of numbers 823, 154, 77, 858 is 1

Finding GCD of 823, 154, 77, 858 using Prime Factorization

Given Input Data is 823, 154, 77, 858

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

Prime Factorization of 823 is 823

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 77 is 7 x 11

Prime Factorization of 858 is 2 x 3 x 11 x 13

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

Finding GCD of 823, 154, 77, 858 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(823, 154) = 126742

GCD(823, 154) = ( 823 x 154 ) / 126742

GCD(823, 154) = 126742 / 126742

GCD(823, 154) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 858

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

LCM(1, 858) = 858

GCD(1, 858) = ( 1 x 858 ) / 858

GCD(1, 858) = 858 / 858

GCD(1, 858) = 1

GCD of 823, 154, 77, 858 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 823, 154, 77, 858

1. What is the GCD of 823, 154, 77, 858?

GCD of 823, 154, 77, 858 is 1


2. Where do I get the detailed procedure to find GCD of 823, 154, 77, 858?

You can find a detailed procedure to find GCD of 823, 154, 77, 858 on our page.


3. How to find GCD of 823, 154, 77, 858 on a calculator?

You can find the GCD of 823, 154, 77, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.