GCD of 704, 336, 418, 296 Calculator

Given Input numbers are 704, 336, 418, 296

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 418 :

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

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

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

GCD of numbers is the greatest common divisor

So, the GCD (704, 336, 418, 296) = 2.

Given numbers are 704, 336, 418, 296

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 418 are 2 x 11 x 19

Prime factors of 296 are 2 x 2 x 2 x 37

The highest common occurrence is 2¹

Therefore, GCD of 704, 336, 418, 296 is 2.

Given numbers are 704, 336, 418, 296

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

Apply this formula for all numbers.

Step1:

LCM(704, 336) = 14784

GCD(704, 336) = ( 704 x 336 ) / 14784

= 704 / 336

= 704

Step2:

LCM(16, 418) = 3344

GCD(16, 418) = ( 16 x 418 ) / 3344

= 16 / 418

= 16

Step3:

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

= 2 / 296

= 2

So, Greatest Common Divisor of 704, 336, 418, 296 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 583, 740, 942, 781
• GCD of 486, 451, 698, 342
• GCD of 833, 956, 487, 115
• GCD of 720, 899, 542, 871
• GCD of 370, 887, 574, 631

Given numbers are 704, 336, 418, 296
The greatest common divisor of numbers 704, 336, 418, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 336, 418, 296 is 2.

1. What is the GCD of 704, 336, 418, 296?

GCD of given numbers 704, 336, 418, 296 is 2

2. How to calculate the greatest common divisor of 704, 336, 418, 296?

We can find the highest common divisor of 704, 336, 418, 296 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 704, 336, 418, 296 i.e 2.

3. How can I use the GCD of 704, 336, 418, 296Calculator?

Out the numbers 704, 336, 418, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.