GCD of 29, 914, 332, 242 Calculator

Given Input numbers are 29, 914, 332, 242

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

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 29, 914, 332, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 914, 332, 242 is 1.

Therefore, GCD of numbers 29, 914, 332, 242 is 1

Given Input Data is 29, 914, 332, 242

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

Prime Factorization of 29 is 29

Prime Factorization of 914 is 2 x 457

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 242 is 2 x 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(29, 914) = 26506

GCD(29, 914) = ( 29 x 914 ) / 26506

GCD(29, 914) = 26506 / 26506

GCD(29, 914) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 332

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

LCM(1, 332) = 332

GCD(1, 332) = ( 1 x 332 ) / 332

GCD(1, 332) = 332 / 332

GCD(1, 332) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

GCD of 29, 914, 332, 242 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 600, 309, 345
• GCD of 10, 513, 965, 681
• GCD of 25, 264, 271, 142
• GCD of 18, 739, 620, 815
• GCD of 56, 540, 783, 957

1. What is the GCD of 29, 914, 332, 242?

GCD of 29, 914, 332, 242 is 1

2. Where do I get the detailed procedure to find GCD of 29, 914, 332, 242?

You can find a detailed procedure to find GCD of 29, 914, 332, 242 on our page.

3. How to find GCD of 29, 914, 332, 242 on a calculator?

You can find the GCD of 29, 914, 332, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.