GCD of 318, 364, 338, 298 Calculator

Given Input numbers are 318, 364, 338, 298

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

GCD of numbers is the greatest common divisor

So, the GCD (318, 364, 338, 298) = 2.

Given numbers are 318, 364, 338, 298

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 338 are 2 x 13 x 13

Prime factors of 298 are 2 x 149

The highest common occurrence is 2¹

Therefore, GCD of 318, 364, 338, 298 is 2.

Given numbers are 318, 364, 338, 298

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

Apply this formula for all numbers.

Step1:

LCM(318, 364) = 57876

GCD(318, 364) = ( 318 x 364 ) / 57876

= 318 / 364

= 318

Step2:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

Step3:

LCM(2, 298) = 298

GCD(2, 298) = ( 2 x 298 ) / 298

= 2 / 298

= 2

So, Greatest Common Divisor of 318, 364, 338, 298 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 789, 397, 168, 684
• GCD of 187, 347, 682, 618
• GCD of 216, 405, 827, 432
• GCD of 792, 789, 908, 480
• GCD of 247, 295, 383, 594

Given numbers are 318, 364, 338, 298
The greatest common divisor of numbers 318, 364, 338, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 364, 338, 298 is 2.

1. What is the GCD of 318, 364, 338, 298?

GCD of given numbers 318, 364, 338, 298 is 2

2. How to calculate the greatest common divisor of 318, 364, 338, 298?

We can find the highest common divisor of 318, 364, 338, 298 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 318, 364, 338, 298 i.e 2.

3. How can I use the GCD of 318, 364, 338, 298Calculator?

Out the numbers 318, 364, 338, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.