GCD of 121, 919, 792, 446 Calculator

Given Input numbers are 121, 919, 792, 446

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

Divisors of 121

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

1, 11, 121

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 121, 919, 792, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 919, 792, 446 is 1.

Therefore, GCD of numbers 121, 919, 792, 446 is 1

Given Input Data is 121, 919, 792, 446

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

Prime Factorization of 121 is 11 x 11

Prime Factorization of 919 is 919

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 446 is 2 x 223

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(121, 919) = 111199

GCD(121, 919) = ( 121 x 919 ) / 111199

GCD(121, 919) = 111199 / 111199

GCD(121, 919) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 792

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

LCM(1, 792) = 792

GCD(1, 792) = ( 1 x 792 ) / 792

GCD(1, 792) = 792 / 792

GCD(1, 792) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

GCD of 121, 919, 792, 446 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 943, 749, 704, 107
• GCD of 550, 650, 782, 274
• GCD of 225, 566, 440, 337
• GCD of 218, 194, 603, 305
• GCD of 171, 315, 604, 435

1. What is the GCD of 121, 919, 792, 446?

GCD of 121, 919, 792, 446 is 1

2. Where do I get the detailed procedure to find GCD of 121, 919, 792, 446?

You can find a detailed procedure to find GCD of 121, 919, 792, 446 on our page.

3. How to find GCD of 121, 919, 792, 446 on a calculator?

You can find the GCD of 121, 919, 792, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.