GCD of 398, 642, 306, 844 Calculator

Given Input numbers are 398, 642, 306, 844

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

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

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

GCD of numbers is the greatest common divisor

So, the GCD (398, 642, 306, 844) = 2.

Given numbers are 398, 642, 306, 844

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 642 are 2 x 3 x 107

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 844 are 2 x 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 398, 642, 306, 844 is 2.

Given numbers are 398, 642, 306, 844

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

Apply this formula for all numbers.

Step1:

LCM(398, 642) = 127758

GCD(398, 642) = ( 398 x 642 ) / 127758

= 398 / 642

= 398

Step2:

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

= 2 / 306

= 2

Step3:

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

= 2 / 844

= 2

So, Greatest Common Divisor of 398, 642, 306, 844 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 535, 327, 838
• GCD of 410, 739, 702, 619
• GCD of 394, 623, 651, 550
• GCD of 468, 165, 864, 328
• GCD of 304, 812, 594, 824

Given numbers are 398, 642, 306, 844
The greatest common divisor of numbers 398, 642, 306, 844 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 642, 306, 844 is 2.

1. What is the GCD of 398, 642, 306, 844?

GCD of given numbers 398, 642, 306, 844 is 2

2. How to calculate the greatest common divisor of 398, 642, 306, 844?

We can find the highest common divisor of 398, 642, 306, 844 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 398, 642, 306, 844 i.e 2.

3. How can I use the GCD of 398, 642, 306, 844Calculator?

Out the numbers 398, 642, 306, 844 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.