GCD of 123, 838, 415, 269 Calculator

Given Input numbers are 123, 838, 415, 269

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 838

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

1, 2, 419, 838

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

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 123, 838, 415, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 838, 415, 269 is 1.

Therefore, GCD of numbers 123, 838, 415, 269 is 1

Given Input Data is 123, 838, 415, 269

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 838 is 2 x 419

Prime Factorization of 415 is 5 x 83

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(123, 838) = 103074

GCD(123, 838) = ( 123 x 838 ) / 103074

GCD(123, 838) = 103074 / 103074

GCD(123, 838) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 415

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

LCM(1, 415) = 415

GCD(1, 415) = ( 1 x 415 ) / 415

GCD(1, 415) = 415 / 415

GCD(1, 415) = 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 123, 838, 415, 269 is 1

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1. What is the GCD of 123, 838, 415, 269?

GCD of 123, 838, 415, 269 is 1

2. Where do I get the detailed procedure to find GCD of 123, 838, 415, 269?

You can find a detailed procedure to find GCD of 123, 838, 415, 269 on our page.

3. How to find GCD of 123, 838, 415, 269 on a calculator?

You can find the GCD of 123, 838, 415, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.