GCD of 430, 382, 375, 616 Calculator

Given Input numbers are 430, 382, 375, 616

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 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 430, 382, 375, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 430, 382, 375, 616 is 1.

Therefore, GCD of numbers 430, 382, 375, 616 is 1

Given Input Data is 430, 382, 375, 616

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 382 is 2 x 191

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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, 382) = 82130

GCD(430, 382) = ( 430 x 382 ) / 82130

GCD(430, 382) = 164260 / 82130

GCD(430, 382) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 375

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

LCM(2, 375) = 750

GCD(2, 375) = ( 2 x 375 ) / 750

GCD(2, 375) = 750 / 750

GCD(2, 375) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 616

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

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

GCD(1, 616) = 616 / 616

GCD(1, 616) = 1

GCD of 430, 382, 375, 616 is 1

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1. What is the GCD of 430, 382, 375, 616?

GCD of 430, 382, 375, 616 is 1

2. Where do I get the detailed procedure to find GCD of 430, 382, 375, 616?

You can find a detailed procedure to find GCD of 430, 382, 375, 616 on our page.

3. How to find GCD of 430, 382, 375, 616 on a calculator?

You can find the GCD of 430, 382, 375, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.