GCD of 338, 748, 924, 226 Calculator

Given Input numbers are 338, 748, 924, 226

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 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

GCD of numbers is the greatest common divisor

So, the GCD (338, 748, 924, 226) = 2.

Given numbers are 338, 748, 924, 226

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 226 are 2 x 113

The highest common occurrence is 2¹

Therefore, GCD of 338, 748, 924, 226 is 2.

Given numbers are 338, 748, 924, 226

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

Apply this formula for all numbers.

Step1:

LCM(338, 748) = 126412

GCD(338, 748) = ( 338 x 748 ) / 126412

= 338 / 748

= 338

Step2:

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

= 2 / 924

= 2

Step3:

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

= 2 / 226

= 2

So, Greatest Common Divisor of 338, 748, 924, 226 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 472, 858, 240, 178
• GCD of 514, 610, 896, 995
• GCD of 877, 622, 277, 257
• GCD of 149, 683, 554, 209
• GCD of 717, 541, 579, 864

Given numbers are 338, 748, 924, 226
The greatest common divisor of numbers 338, 748, 924, 226 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 748, 924, 226 is 2.

1. What is the GCD of 338, 748, 924, 226?

GCD of given numbers 338, 748, 924, 226 is 2

2. How to calculate the greatest common divisor of 338, 748, 924, 226?

We can find the highest common divisor of 338, 748, 924, 226 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, 748, 924, 226 i.e 2.

3. How can I use the GCD of 338, 748, 924, 226Calculator?

Out the numbers 338, 748, 924, 226 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.