GCD of 338, 296, 66, 310 Calculator

Given Input numbers are 338, 296, 66, 310

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 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 66 :

The positive integer divisors of 66 that completely divides 66 are.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (338, 296, 66, 310) = 2.

Given numbers are 338, 296, 66, 310

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 66 are 2 x 3 x 11

Prime factors of 310 are 2 x 5 x 31

The highest common occurrence is 2¹

Therefore, GCD of 338, 296, 66, 310 is 2.

Given numbers are 338, 296, 66, 310

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

Apply this formula for all numbers.

Step1:

LCM(338, 296) = 50024

GCD(338, 296) = ( 338 x 296 ) / 50024

= 338 / 296

= 338

Step2:

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

= 2 / 66

= 2

Step3:

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

= 2 / 310

= 2

So, Greatest Common Divisor of 338, 296, 66, 310 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 514, 702, 24, 965
• GCD of 555, 929, 47, 138
• GCD of 333, 199, 89, 916
• GCD of 847, 258, 54, 644
• GCD of 144, 142, 13, 873

Given numbers are 338, 296, 66, 310
The greatest common divisor of numbers 338, 296, 66, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 296, 66, 310 is 2.

1. What is the GCD of 338, 296, 66, 310?

GCD of given numbers 338, 296, 66, 310 is 2

2. How to calculate the greatest common divisor of 338, 296, 66, 310?

We can find the highest common divisor of 338, 296, 66, 310 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, 296, 66, 310 i.e 2.

3. How can I use the GCD of 338, 296, 66, 310Calculator?

Out the numbers 338, 296, 66, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.