GCD of 336, 708, 723, 361 Calculator

Given Input numbers are 336, 708, 723, 361

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

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 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (336, 708, 723, 361) = 1.

Given numbers are 336, 708, 723, 361

The list of prime factors of all numbers are

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

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 723 are 3 x 241

Prime factors of 361 are 19 x 19

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 336, 708, 723, 361

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

Apply this formula for all numbers.

Step1:

LCM(336, 708) = 19824

GCD(336, 708) = ( 336 x 708 ) / 19824

= 336 / 708

= 336

Step2:

LCM(12, 723) = 2892

GCD(12, 723) = ( 12 x 723 ) / 2892

= 12 / 723

= 12

Step3:

LCM(3, 361) = 1083

GCD(3, 361) = ( 3 x 361 ) / 1083

= 3 / 361

= 3

So, Greatest Common Divisor of 336, 708, 723, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 797, 222, 299, 108
• GCD of 981, 617, 133, 540
• GCD of 414, 806, 641, 923
• GCD of 654, 896, 660, 383
• GCD of 557, 671, 485, 225

Given numbers are 336, 708, 723, 361
The greatest common divisor of numbers 336, 708, 723, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 708, 723, 361 is 1.

1. What is the GCD of 336, 708, 723, 361?

GCD of given numbers 336, 708, 723, 361 is 1

2. How to calculate the greatest common divisor of 336, 708, 723, 361?

We can find the highest common divisor of 336, 708, 723, 361 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 336, 708, 723, 361 i.e 1.

3. How can I use the GCD of 336, 708, 723, 361Calculator?

Out the numbers 336, 708, 723, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.