GCD of 754, 432, 255, 378 Calculator

Given Input numbers are 754, 432, 255, 378

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

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 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 754, 432, 255, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 432, 255, 378 is 1.

Therefore, GCD of numbers 754, 432, 255, 378 is 1

Given Input Data is 754, 432, 255, 378

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

Prime Factorization of 754 is 2 x 13 x 29

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

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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(754, 432) = 162864

GCD(754, 432) = ( 754 x 432 ) / 162864

GCD(754, 432) = 325728 / 162864

GCD(754, 432) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 255

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

LCM(2, 255) = 510

GCD(2, 255) = ( 2 x 255 ) / 510

GCD(2, 255) = 510 / 510

GCD(2, 255) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

GCD of 754, 432, 255, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 956, 758, 312
• GCD of 462, 852, 924, 158
• GCD of 899, 976, 234, 879
• GCD of 816, 418, 991, 986
• GCD of 209, 834, 679, 473

1. What is the GCD of 754, 432, 255, 378?

GCD of 754, 432, 255, 378 is 1

2. Where do I get the detailed procedure to find GCD of 754, 432, 255, 378?

You can find a detailed procedure to find GCD of 754, 432, 255, 378 on our page.

3. How to find GCD of 754, 432, 255, 378 on a calculator?

You can find the GCD of 754, 432, 255, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.