GCD of 114, 432, 778, 291 Calculator

Given Input numbers are 114, 432, 778, 291

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Greatest Common Divisior

We found the divisors of 114, 432, 778, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 432, 778, 291 is 1.

Therefore, GCD of numbers 114, 432, 778, 291 is 1

Given Input Data is 114, 432, 778, 291

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 778 is 2 x 389

Prime Factorization of 291 is 3 x 97

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(114, 432) = 8208

GCD(114, 432) = ( 114 x 432 ) / 8208

GCD(114, 432) = 49248 / 8208

GCD(114, 432) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 778

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

LCM(6, 778) = 2334

GCD(6, 778) = ( 6 x 778 ) / 2334

GCD(6, 778) = 4668 / 2334

GCD(6, 778) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 291

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

LCM(2, 291) = 582

GCD(2, 291) = ( 2 x 291 ) / 582

GCD(2, 291) = 582 / 582

GCD(2, 291) = 1

GCD of 114, 432, 778, 291 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 911, 158, 213, 730
• GCD of 638, 379, 876, 782
• GCD of 571, 415, 566, 798
• GCD of 441, 577, 193, 823
• GCD of 390, 871, 756, 762

1. What is the GCD of 114, 432, 778, 291?

GCD of 114, 432, 778, 291 is 1

2. Where do I get the detailed procedure to find GCD of 114, 432, 778, 291?

You can find a detailed procedure to find GCD of 114, 432, 778, 291 on our page.

3. How to find GCD of 114, 432, 778, 291 on a calculator?

You can find the GCD of 114, 432, 778, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.