GCD of 434, 749, 428 Calculator

Given Input numbers are 434, 749, 428

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 434, 749, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 749, 428 is 1.

Therefore, GCD of numbers 434, 749, 428 is 1

Given Input Data is 434, 749, 428

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 749 is 7 x 107

Prime Factorization of 428 is 2 x 2 x 107

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(434, 749) = 46438

GCD(434, 749) = ( 434 x 749 ) / 46438

GCD(434, 749) = 325066 / 46438

GCD(434, 749) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 428

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

LCM(7, 428) = 2996

GCD(7, 428) = ( 7 x 428 ) / 2996

GCD(7, 428) = 2996 / 2996

GCD(7, 428) = 1

GCD of 434, 749, 428 is 1

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1. What is the GCD of 434, 749, 428?

GCD of 434, 749, 428 is 1

2. Where do I get the detailed procedure to find GCD of 434, 749, 428?

You can find a detailed procedure to find GCD of 434, 749, 428 on our page.

3. How to find GCD of 434, 749, 428 on a calculator?

You can find the GCD of 434, 749, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.