GCD of 748, 908, 320, 338 Calculator

Given Input numbers are 748, 908, 320, 338

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

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 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (748, 908, 320, 338) = 2.

Given numbers are 748, 908, 320, 338

The list of prime factors of all numbers are

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

Prime factors of 908 are 2 x 2 x 227

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 748, 908, 320, 338 is 2.

Given numbers are 748, 908, 320, 338

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

Apply this formula for all numbers.

Step1:

LCM(748, 908) = 169796

GCD(748, 908) = ( 748 x 908 ) / 169796

= 748 / 908

= 748

Step2:

LCM(4, 320) = 320

GCD(4, 320) = ( 4 x 320 ) / 320

= 4 / 320

= 4

Step3:

LCM(4, 338) = 676

GCD(4, 338) = ( 4 x 338 ) / 676

= 4 / 338

= 4

So, Greatest Common Divisor of 748, 908, 320, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 816, 127, 246, 135
• GCD of 782, 433, 944, 872
• GCD of 624, 937, 557, 290
• GCD of 819, 180, 505, 552
• GCD of 127, 251, 796, 205

Given numbers are 748, 908, 320, 338
The greatest common divisor of numbers 748, 908, 320, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 908, 320, 338 is 2.

1. What is the GCD of 748, 908, 320, 338?

GCD of given numbers 748, 908, 320, 338 is 2

2. How to calculate the greatest common divisor of 748, 908, 320, 338?

We can find the highest common divisor of 748, 908, 320, 338 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 748, 908, 320, 338 i.e 2.

3. How can I use the GCD of 748, 908, 320, 338Calculator?

Out the numbers 748, 908, 320, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.