GCD of 430, 353, 768, 738 Calculator

Given Input numbers are 430, 353, 768, 738

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

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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

Greatest Common Divisior

We found the divisors of 430, 353, 768, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 430, 353, 768, 738 is 1.

Therefore, GCD of numbers 430, 353, 768, 738 is 1

Given Input Data is 430, 353, 768, 738

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

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 353 is 353

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

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(430, 353) = 151790

GCD(430, 353) = ( 430 x 353 ) / 151790

GCD(430, 353) = 151790 / 151790

GCD(430, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

Step3:

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

GCD of 430, 353, 768, 738 is 1

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1. What is the GCD of 430, 353, 768, 738?

GCD of 430, 353, 768, 738 is 1

2. Where do I get the detailed procedure to find GCD of 430, 353, 768, 738?

You can find a detailed procedure to find GCD of 430, 353, 768, 738 on our page.

3. How to find GCD of 430, 353, 768, 738 on a calculator?

You can find the GCD of 430, 353, 768, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.