GCD of 828, 851, 268 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 828, 851, 268 i.e. 1 largest integer that divides all the numbers equally.

GCD of 828, 851, 268 is 1

GCD(828, 851, 268) = 1

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

GCD of

GCD of numbers 828, 851, 268 is 1

GCD(828, 851, 268) = 1

GCD of 828,851,268 Calculator

GCDof 828,851,268 is 1

Given Input numbers are 828, 851, 268

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 828, 851, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 851, 268 is 1.

Therefore, GCD of numbers 828, 851, 268 is 1

Finding GCD of 828, 851, 268 using Prime Factorization

Given Input Data is 828, 851, 268

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 851 is 23 x 37

Prime Factorization of 268 is 2 x 2 x 67

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

Finding GCD of 828, 851, 268 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(828, 851) = 30636

GCD(828, 851) = ( 828 x 851 ) / 30636

GCD(828, 851) = 704628 / 30636

GCD(828, 851) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 268

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

LCM(23, 268) = 6164

GCD(23, 268) = ( 23 x 268 ) / 6164

GCD(23, 268) = 6164 / 6164

GCD(23, 268) = 1

GCD of 828, 851, 268 is 1

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FAQs on GCD of numbers 828, 851, 268

1. What is the GCD of 828, 851, 268?

GCD of 828, 851, 268 is 1

2. Where do I get the detailed procedure to find GCD of 828, 851, 268?

You can find a detailed procedure to find GCD of 828, 851, 268 on our page.

3. How to find GCD of 828, 851, 268 on a calculator?

You can find the GCD of 828, 851, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.