GCD of 138, 324, 338, 244 Calculator

Given Input numbers are 138, 324, 338, 244

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 244 :

The positive integer divisors of 244 that completely divides 244 are.

1, 2, 4, 61, 122, 244

GCD of numbers is the greatest common divisor

So, the GCD (138, 324, 338, 244) = 2.

Given numbers are 138, 324, 338, 244

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 338 are 2 x 13 x 13

Prime factors of 244 are 2 x 2 x 61

The highest common occurrence is 2¹

Therefore, GCD of 138, 324, 338, 244 is 2.

Given numbers are 138, 324, 338, 244

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

Apply this formula for all numbers.

Step1:

LCM(138, 324) = 7452

GCD(138, 324) = ( 138 x 324 ) / 7452

= 138 / 324

= 138

Step2:

LCM(6, 338) = 1014

GCD(6, 338) = ( 6 x 338 ) / 1014

= 6 / 338

= 6

Step3:

LCM(2, 244) = 244

GCD(2, 244) = ( 2 x 244 ) / 244

= 2 / 244

= 2

So, Greatest Common Divisor of 138, 324, 338, 244 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 592, 237, 320, 575
• GCD of 464, 790, 146, 119
• GCD of 782, 947, 363, 111
• GCD of 814, 846, 807, 288
• GCD of 810, 551, 516, 837

Given numbers are 138, 324, 338, 244
The greatest common divisor of numbers 138, 324, 338, 244 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 324, 338, 244 is 2.

1. What is the GCD of 138, 324, 338, 244?

GCD of given numbers 138, 324, 338, 244 is 2

2. How to calculate the greatest common divisor of 138, 324, 338, 244?

We can find the highest common divisor of 138, 324, 338, 244 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 138, 324, 338, 244 i.e 2.

3. How can I use the GCD of 138, 324, 338, 244Calculator?

Out the numbers 138, 324, 338, 244 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.