GCD of 428, 345, 306, 875 Calculator

Given Input numbers are 428, 345, 306, 875

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

Divisors of 428

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

1, 2, 4, 107, 214, 428

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Greatest Common Divisior

We found the divisors of 428, 345, 306, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 345, 306, 875 is 1.

Therefore, GCD of numbers 428, 345, 306, 875 is 1

Given Input Data is 428, 345, 306, 875

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 875 is 5 x 5 x 5 x 7

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(428, 345) = 147660

GCD(428, 345) = ( 428 x 345 ) / 147660

GCD(428, 345) = 147660 / 147660

GCD(428, 345) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 875

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

LCM(1, 875) = 875

GCD(1, 875) = ( 1 x 875 ) / 875

GCD(1, 875) = 875 / 875

GCD(1, 875) = 1

GCD of 428, 345, 306, 875 is 1

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1. What is the GCD of 428, 345, 306, 875?

GCD of 428, 345, 306, 875 is 1

2. Where do I get the detailed procedure to find GCD of 428, 345, 306, 875?

You can find a detailed procedure to find GCD of 428, 345, 306, 875 on our page.

3. How to find GCD of 428, 345, 306, 875 on a calculator?

You can find the GCD of 428, 345, 306, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.