GCD of 302, 338, 999, 428 Calculator

Given Input numbers are 302, 338, 999, 428

In the factoring method, we have to find the divisors of all numbers

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (302, 338, 999, 428) = 1.

Given numbers are 302, 338, 999, 428

The list of prime factors of all numbers are

Prime factors of 302 are 2 x 151

Prime factors of 338 are 2 x 13 x 13

Prime factors of 999 are 3 x 3 x 3 x 37

Prime factors of 428 are 2 x 2 x 107

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 302, 338, 999, 428

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(302, 338) = 51038

GCD(302, 338) = ( 302 x 338 ) / 51038

= 302 / 338

= 302

Step2:

LCM(2, 999) = 1998

GCD(2, 999) = ( 2 x 999 ) / 1998

= 2 / 999

= 2

Step3:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1

So, Greatest Common Divisor of 302, 338, 999, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 474, 330, 736, 782
• GCD of 718, 338, 708, 206
• GCD of 589, 720, 586, 287
• GCD of 783, 507, 810, 370
• GCD of 137, 266, 937, 172

Given numbers are 302, 338, 999, 428
The greatest common divisor of numbers 302, 338, 999, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 302, 338, 999, 428 is 1.

1. What is the GCD of 302, 338, 999, 428?

GCD of given numbers 302, 338, 999, 428 is 1

2. How to calculate the greatest common divisor of 302, 338, 999, 428?

We can find the highest common divisor of 302, 338, 999, 428 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 302, 338, 999, 428 i.e 1.

3. How can I use the GCD of 302, 338, 999, 428Calculator?

Out the numbers 302, 338, 999, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.