GCD of 828, 368, 86, 267 Calculator

Given Input numbers are 828, 368, 86, 267

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 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Greatest Common Divisior

We found the divisors of 828, 368, 86, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 368, 86, 267 is 1.

Therefore, GCD of numbers 828, 368, 86, 267 is 1

Given Input Data is 828, 368, 86, 267

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 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 86 is 2 x 43

Prime Factorization of 267 is 3 x 89

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

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, 368) = 3312

GCD(828, 368) = ( 828 x 368 ) / 3312

GCD(828, 368) = 304704 / 3312

GCD(828, 368) = 92

Step2:

Here we consider the GCD from the above i.e. 92 as first number and the next as 86

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

LCM(92, 86) = 3956

GCD(92, 86) = ( 92 x 86 ) / 3956

GCD(92, 86) = 7912 / 3956

GCD(92, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 267

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

LCM(2, 267) = 534

GCD(2, 267) = ( 2 x 267 ) / 534

GCD(2, 267) = 534 / 534

GCD(2, 267) = 1

GCD of 828, 368, 86, 267 is 1

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1. What is the GCD of 828, 368, 86, 267?

GCD of 828, 368, 86, 267 is 1

2. Where do I get the detailed procedure to find GCD of 828, 368, 86, 267?

You can find a detailed procedure to find GCD of 828, 368, 86, 267 on our page.

3. How to find GCD of 828, 368, 86, 267 on a calculator?

You can find the GCD of 828, 368, 86, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.