GCD of 838, 827, 341, 288 Calculator

Given Input numbers are 838, 827, 341, 288

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 838, 827, 341, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 827, 341, 288 is 1.

Therefore, GCD of numbers 838, 827, 341, 288 is 1

Given Input Data is 838, 827, 341, 288

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 827 is 827

Prime Factorization of 341 is 11 x 31

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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(838, 827) = 693026

GCD(838, 827) = ( 838 x 827 ) / 693026

GCD(838, 827) = 693026 / 693026

GCD(838, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 838, 827, 341, 288 is 1

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1. What is the GCD of 838, 827, 341, 288?

GCD of 838, 827, 341, 288 is 1

2. Where do I get the detailed procedure to find GCD of 838, 827, 341, 288?

You can find a detailed procedure to find GCD of 838, 827, 341, 288 on our page.

3. How to find GCD of 838, 827, 341, 288 on a calculator?

You can find the GCD of 838, 827, 341, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.