GCD of 857, 456, 83 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 857, 456, 83 i.e. 1 largest integer that divides all the numbers equally.

GCD of 857, 456, 83 is 1

GCD(857, 456, 83) = 1

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

GCD of

GCD of numbers 857, 456, 83 is 1

GCD(857, 456, 83) = 1

GCD of 857,456,83 Calculator

GCDof 857,456,83 is 1

Given Input numbers are 857, 456, 83

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

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Greatest Common Divisior

We found the divisors of 857, 456, 83 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 857, 456, 83 is 1.

Therefore, GCD of numbers 857, 456, 83 is 1

Finding GCD of 857, 456, 83 using Prime Factorization

Given Input Data is 857, 456, 83

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

Prime Factorization of 857 is 857

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 83 is 83

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

Finding GCD of 857, 456, 83 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(857, 456) = 390792

GCD(857, 456) = ( 857 x 456 ) / 390792

GCD(857, 456) = 390792 / 390792

GCD(857, 456) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

GCD of 857, 456, 83 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 857, 456, 83

1. What is the GCD of 857, 456, 83?

GCD of 857, 456, 83 is 1


2. Where do I get the detailed procedure to find GCD of 857, 456, 83?

You can find a detailed procedure to find GCD of 857, 456, 83 on our page.


3. How to find GCD of 857, 456, 83 on a calculator?

You can find the GCD of 857, 456, 83 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.