GCD of 123, 353, 54, 266 Calculator

Given Input numbers are 123, 353, 54, 266

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 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Greatest Common Divisior

We found the divisors of 123, 353, 54, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 353, 54, 266 is 1.

Therefore, GCD of numbers 123, 353, 54, 266 is 1

Given Input Data is 123, 353, 54, 266

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 353 is 353

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 266 is 2 x 7 x 19

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, 353) = 43419

GCD(123, 353) = ( 123 x 353 ) / 43419

GCD(123, 353) = 43419 / 43419

GCD(123, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 266

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

LCM(1, 266) = 266

GCD(1, 266) = ( 1 x 266 ) / 266

GCD(1, 266) = 266 / 266

GCD(1, 266) = 1

GCD of 123, 353, 54, 266 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 809, 87, 333
• GCD of 657, 146, 74, 396
• GCD of 267, 563, 21, 374
• GCD of 821, 697, 39, 560
• GCD of 291, 947, 72, 275

1. What is the GCD of 123, 353, 54, 266?

GCD of 123, 353, 54, 266 is 1

2. Where do I get the detailed procedure to find GCD of 123, 353, 54, 266?

You can find a detailed procedure to find GCD of 123, 353, 54, 266 on our page.

3. How to find GCD of 123, 353, 54, 266 on a calculator?

You can find the GCD of 123, 353, 54, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.