GCD of 854, 113, 48, 269 Calculator

Given Input numbers are 854, 113, 48, 269

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 854, 113, 48, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 113, 48, 269 is 1.

Therefore, GCD of numbers 854, 113, 48, 269 is 1

Given Input Data is 854, 113, 48, 269

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 113 is 113

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 269 is 269

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(854, 113) = 96502

GCD(854, 113) = ( 854 x 113 ) / 96502

GCD(854, 113) = 96502 / 96502

GCD(854, 113) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 854, 113, 48, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 714, 34, 945
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• GCD of 990, 993, 18, 945

1. What is the GCD of 854, 113, 48, 269?

GCD of 854, 113, 48, 269 is 1

2. Where do I get the detailed procedure to find GCD of 854, 113, 48, 269?

You can find a detailed procedure to find GCD of 854, 113, 48, 269 on our page.

3. How to find GCD of 854, 113, 48, 269 on a calculator?

You can find the GCD of 854, 113, 48, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.