GCD of 12, 120, 550, 343 Calculator

Given Input numbers are 12, 120, 550, 343

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 12, 120, 550, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 120, 550, 343 is 1.

Therefore, GCD of numbers 12, 120, 550, 343 is 1

Given Input Data is 12, 120, 550, 343

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 343 is 7 x 7 x 7

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(12, 120) = 120

GCD(12, 120) = ( 12 x 120 ) / 120

GCD(12, 120) = 1440 / 120

GCD(12, 120) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 550

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

LCM(12, 550) = 3300

GCD(12, 550) = ( 12 x 550 ) / 3300

GCD(12, 550) = 6600 / 3300

GCD(12, 550) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 343

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

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

GCD(2, 343) = 686 / 686

GCD(2, 343) = 1

GCD of 12, 120, 550, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 295, 242, 676
• GCD of 89, 234, 227, 871
• GCD of 26, 627, 169, 448
• GCD of 55, 644, 368, 740
• GCD of 34, 768, 756, 194

1. What is the GCD of 12, 120, 550, 343?

GCD of 12, 120, 550, 343 is 1

2. Where do I get the detailed procedure to find GCD of 12, 120, 550, 343?

You can find a detailed procedure to find GCD of 12, 120, 550, 343 on our page.

3. How to find GCD of 12, 120, 550, 343 on a calculator?

You can find the GCD of 12, 120, 550, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.