GCD of 338, 686, 918, 444 Calculator

Given Input numbers are 338, 686, 918, 444

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

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

GCD of numbers is the greatest common divisor

So, the GCD (338, 686, 918, 444) = 2.

Given numbers are 338, 686, 918, 444

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 444 are 2 x 2 x 3 x 37

The highest common occurrence is 2¹

Therefore, GCD of 338, 686, 918, 444 is 2.

Given numbers are 338, 686, 918, 444

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

Apply this formula for all numbers.

Step1:

LCM(338, 686) = 115934

GCD(338, 686) = ( 338 x 686 ) / 115934

= 338 / 686

= 338

Step2:

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

= 2 / 918

= 2

Step3:

LCM(2, 444) = 444

GCD(2, 444) = ( 2 x 444 ) / 444

= 2 / 444

= 2

So, Greatest Common Divisor of 338, 686, 918, 444 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 801, 855, 266, 173
• GCD of 322, 595, 360, 986
• GCD of 344, 651, 272, 638
• GCD of 940, 960, 589, 356
• GCD of 863, 652, 999, 715

Given numbers are 338, 686, 918, 444
The greatest common divisor of numbers 338, 686, 918, 444 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 686, 918, 444 is 2.

1. What is the GCD of 338, 686, 918, 444?

GCD of given numbers 338, 686, 918, 444 is 2

2. How to calculate the greatest common divisor of 338, 686, 918, 444?

We can find the highest common divisor of 338, 686, 918, 444 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 338, 686, 918, 444 i.e 2.

3. How can I use the GCD of 338, 686, 918, 444Calculator?

Out the numbers 338, 686, 918, 444 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.