GCD of 827, 121, 368, 834 Calculator

Given Input numbers are 827, 121, 368, 834

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

Divisors of 827

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

1, 827

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

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 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Greatest Common Divisior

We found the divisors of 827, 121, 368, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 121, 368, 834 is 1.

Therefore, GCD of numbers 827, 121, 368, 834 is 1

Given Input Data is 827, 121, 368, 834

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

Prime Factorization of 827 is 827

Prime Factorization of 121 is 11 x 11

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 834 is 2 x 3 x 139

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(827, 121) = 100067

GCD(827, 121) = ( 827 x 121 ) / 100067

GCD(827, 121) = 100067 / 100067

GCD(827, 121) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 834

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

LCM(1, 834) = 834

GCD(1, 834) = ( 1 x 834 ) / 834

GCD(1, 834) = 834 / 834

GCD(1, 834) = 1

GCD of 827, 121, 368, 834 is 1

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1. What is the GCD of 827, 121, 368, 834?

GCD of 827, 121, 368, 834 is 1

2. Where do I get the detailed procedure to find GCD of 827, 121, 368, 834?

You can find a detailed procedure to find GCD of 827, 121, 368, 834 on our page.

3. How to find GCD of 827, 121, 368, 834 on a calculator?

You can find the GCD of 827, 121, 368, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.