GCD of 628, 432, 797, 354 Calculator

Given Input numbers are 628, 432, 797, 354

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

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 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 628, 432, 797, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 432, 797, 354 is 1.

Therefore, GCD of numbers 628, 432, 797, 354 is 1

Given Input Data is 628, 432, 797, 354

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

Prime Factorization of 628 is 2 x 2 x 157

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

Prime Factorization of 797 is 797

Prime Factorization of 354 is 2 x 3 x 59

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(628, 432) = 67824

GCD(628, 432) = ( 628 x 432 ) / 67824

GCD(628, 432) = 271296 / 67824

GCD(628, 432) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 797

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

LCM(4, 797) = 3188

GCD(4, 797) = ( 4 x 797 ) / 3188

GCD(4, 797) = 3188 / 3188

GCD(4, 797) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 628, 432, 797, 354 is 1

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1. What is the GCD of 628, 432, 797, 354?

GCD of 628, 432, 797, 354 is 1

2. Where do I get the detailed procedure to find GCD of 628, 432, 797, 354?

You can find a detailed procedure to find GCD of 628, 432, 797, 354 on our page.

3. How to find GCD of 628, 432, 797, 354 on a calculator?

You can find the GCD of 628, 432, 797, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.