GCD of 15, 744, 466, 121 Calculator

Given Input numbers are 15, 744, 466, 121

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Greatest Common Divisior

We found the divisors of 15, 744, 466, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 744, 466, 121 is 1.

Therefore, GCD of numbers 15, 744, 466, 121 is 1

Given Input Data is 15, 744, 466, 121

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 466 is 2 x 233

Prime Factorization of 121 is 11 x 11

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(15, 744) = 3720

GCD(15, 744) = ( 15 x 744 ) / 3720

GCD(15, 744) = 11160 / 3720

GCD(15, 744) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 466

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

LCM(3, 466) = 1398

GCD(3, 466) = ( 3 x 466 ) / 1398

GCD(3, 466) = 1398 / 1398

GCD(3, 466) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1

GCD of 15, 744, 466, 121 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 170, 223, 834
• GCD of 53, 271, 232, 331
• GCD of 49, 305, 894, 162
• GCD of 85, 696, 760, 663
• GCD of 92, 993, 929, 716

1. What is the GCD of 15, 744, 466, 121?

GCD of 15, 744, 466, 121 is 1

2. Where do I get the detailed procedure to find GCD of 15, 744, 466, 121?

You can find a detailed procedure to find GCD of 15, 744, 466, 121 on our page.

3. How to find GCD of 15, 744, 466, 121 on a calculator?

You can find the GCD of 15, 744, 466, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.