GCD of 346, 988, 269, 123 Calculator

Given Input numbers are 346, 988, 269, 123

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

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 269

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

1, 269

Divisors of 123

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

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 346, 988, 269, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 988, 269, 123 is 1.

Therefore, GCD of numbers 346, 988, 269, 123 is 1

Given Input Data is 346, 988, 269, 123

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 269 is 269

Prime Factorization of 123 is 3 x 41

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(346, 988) = 170924

GCD(346, 988) = ( 346 x 988 ) / 170924

GCD(346, 988) = 341848 / 170924

GCD(346, 988) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 269

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

LCM(2, 269) = 538

GCD(2, 269) = ( 2 x 269 ) / 538

GCD(2, 269) = 538 / 538

GCD(2, 269) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 346, 988, 269, 123 is 1

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1. What is the GCD of 346, 988, 269, 123?

GCD of 346, 988, 269, 123 is 1

2. Where do I get the detailed procedure to find GCD of 346, 988, 269, 123?

You can find a detailed procedure to find GCD of 346, 988, 269, 123 on our page.

3. How to find GCD of 346, 988, 269, 123 on a calculator?

You can find the GCD of 346, 988, 269, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.