GCD of 474, 344, 796, 338 Calculator

Given Input numbers are 474, 344, 796, 338

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

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 (474, 344, 796, 338) = 2.

Given numbers are 474, 344, 796, 338

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 796 are 2 x 2 x 199

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 474, 344, 796, 338 is 2.

Given numbers are 474, 344, 796, 338

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

Apply this formula for all numbers.

Step1:

LCM(474, 344) = 81528

GCD(474, 344) = ( 474 x 344 ) / 81528

= 474 / 344

= 474

Step2:

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

= 2 / 796

= 2

Step3:

LCM(2, 338) = 338

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

= 2 / 338

= 2

So, Greatest Common Divisor of 474, 344, 796, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 398, 452, 332
• GCD of 656, 321, 453, 205
• GCD of 466, 201, 898, 927
• GCD of 821, 755, 514, 919
• GCD of 897, 204, 205, 860

Given numbers are 474, 344, 796, 338
The greatest common divisor of numbers 474, 344, 796, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 344, 796, 338 is 2.

1. What is the GCD of 474, 344, 796, 338?

GCD of given numbers 474, 344, 796, 338 is 2

2. How to calculate the greatest common divisor of 474, 344, 796, 338?

We can find the highest common divisor of 474, 344, 796, 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 474, 344, 796, 338 i.e 2.

3. How can I use the GCD of 474, 344, 796, 338Calculator?

Out the numbers 474, 344, 796, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.