GCD of 278, 103, 738, 432 Calculator

Given Input numbers are 278, 103, 738, 432

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

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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

Greatest Common Divisior

We found the divisors of 278, 103, 738, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 103, 738, 432 is 1.

Therefore, GCD of numbers 278, 103, 738, 432 is 1

Given Input Data is 278, 103, 738, 432

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 103 is 103

Prime Factorization of 738 is 2 x 3 x 3 x 41

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

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(278, 103) = 28634

GCD(278, 103) = ( 278 x 103 ) / 28634

GCD(278, 103) = 28634 / 28634

GCD(278, 103) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 432

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

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

GCD(1, 432) = 432 / 432

GCD(1, 432) = 1

GCD of 278, 103, 738, 432 is 1

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1. What is the GCD of 278, 103, 738, 432?

GCD of 278, 103, 738, 432 is 1

2. Where do I get the detailed procedure to find GCD of 278, 103, 738, 432?

You can find a detailed procedure to find GCD of 278, 103, 738, 432 on our page.

3. How to find GCD of 278, 103, 738, 432 on a calculator?

You can find the GCD of 278, 103, 738, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.