GCD of 40, 176, 222, 791 Calculator

Given Input numbers are 40, 176, 222, 791

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 40, 176, 222, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 176, 222, 791 is 1.

Therefore, GCD of numbers 40, 176, 222, 791 is 1

Given Input Data is 40, 176, 222, 791

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 791 is 7 x 113

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(40, 176) = 880

GCD(40, 176) = ( 40 x 176 ) / 880

GCD(40, 176) = 7040 / 880

GCD(40, 176) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 222

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

LCM(8, 222) = 888

GCD(8, 222) = ( 8 x 222 ) / 888

GCD(8, 222) = 1776 / 888

GCD(8, 222) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 791

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

LCM(2, 791) = 1582

GCD(2, 791) = ( 2 x 791 ) / 1582

GCD(2, 791) = 1582 / 1582

GCD(2, 791) = 1

GCD of 40, 176, 222, 791 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 105, 910, 188
• GCD of 94, 789, 353, 595
• GCD of 37, 376, 650, 976
• GCD of 86, 335, 885, 291
• GCD of 89, 477, 752, 733

1. What is the GCD of 40, 176, 222, 791?

GCD of 40, 176, 222, 791 is 1

2. Where do I get the detailed procedure to find GCD of 40, 176, 222, 791?

You can find a detailed procedure to find GCD of 40, 176, 222, 791 on our page.

3. How to find GCD of 40, 176, 222, 791 on a calculator?

You can find the GCD of 40, 176, 222, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.