GCD of 418, 832, 338, 738 Calculator

Given Input numbers are 418, 832, 338, 738

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

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (418, 832, 338, 738) = 2.

Given numbers are 418, 832, 338, 738

The list of prime factors of all numbers are

Prime factors of 418 are 2 x 11 x 19

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 338 are 2 x 13 x 13

Prime factors of 738 are 2 x 3 x 3 x 41

The highest common occurrence is 2¹

Therefore, GCD of 418, 832, 338, 738 is 2.

Given numbers are 418, 832, 338, 738

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

Apply this formula for all numbers.

Step1:

LCM(418, 832) = 173888

GCD(418, 832) = ( 418 x 832 ) / 173888

= 418 / 832

= 418

Step2:

LCM(2, 338) = 338

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

= 2 / 338

= 2

Step3:

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

= 2 / 738

= 2

So, Greatest Common Divisor of 418, 832, 338, 738 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 275, 584, 163
• GCD of 314, 348, 915, 309
• GCD of 934, 299, 353, 581
• GCD of 524, 279, 772, 204
• GCD of 923, 288, 208, 879

Given numbers are 418, 832, 338, 738
The greatest common divisor of numbers 418, 832, 338, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 418, 832, 338, 738 is 2.

1. What is the GCD of 418, 832, 338, 738?

GCD of given numbers 418, 832, 338, 738 is 2

2. How to calculate the greatest common divisor of 418, 832, 338, 738?

We can find the highest common divisor of 418, 832, 338, 738 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 418, 832, 338, 738 i.e 2.

3. How can I use the GCD of 418, 832, 338, 738Calculator?

Out the numbers 418, 832, 338, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.