GCD of 399, 152, 91, 434 Calculator

Given Input numbers are 399, 152, 91, 434

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 434

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

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

Greatest Common Divisior

We found the divisors of 399, 152, 91, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 152, 91, 434 is 1.

Therefore, GCD of numbers 399, 152, 91, 434 is 1

Given Input Data is 399, 152, 91, 434

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 91 is 7 x 13

Prime Factorization of 434 is 2 x 7 x 31

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(399, 152) = 3192

GCD(399, 152) = ( 399 x 152 ) / 3192

GCD(399, 152) = 60648 / 3192

GCD(399, 152) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 91

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

LCM(19, 91) = 1729

GCD(19, 91) = ( 19 x 91 ) / 1729

GCD(19, 91) = 1729 / 1729

GCD(19, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 399, 152, 91, 434 is 1

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• GCD of 702, 144, 14, 740
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• GCD of 859, 712, 21, 669

1. What is the GCD of 399, 152, 91, 434?

GCD of 399, 152, 91, 434 is 1

2. Where do I get the detailed procedure to find GCD of 399, 152, 91, 434?

You can find a detailed procedure to find GCD of 399, 152, 91, 434 on our page.

3. How to find GCD of 399, 152, 91, 434 on a calculator?

You can find the GCD of 399, 152, 91, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.