GCD of 338, 730, 856, 723 Calculator

Given Input numbers are 338, 730, 856, 723

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

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 723 :

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

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (338, 730, 856, 723) = 1.

Given numbers are 338, 730, 856, 723

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 730 are 2 x 5 x 73

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 723 are 3 x 241

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

Given numbers are 338, 730, 856, 723

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

Apply this formula for all numbers.

Step1:

LCM(338, 730) = 123370

GCD(338, 730) = ( 338 x 730 ) / 123370

= 338 / 730

= 338

Step2:

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

= 2 / 856

= 2

Step3:

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

= 2 / 723

= 2

So, Greatest Common Divisor of 338, 730, 856, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 322, 120, 491, 277
• GCD of 112, 416, 503, 699
• GCD of 155, 164, 806, 771
• GCD of 450, 772, 994, 620
• GCD of 743, 971, 425, 966

Given numbers are 338, 730, 856, 723
The greatest common divisor of numbers 338, 730, 856, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 730, 856, 723 is 1.

1. What is the GCD of 338, 730, 856, 723?

GCD of given numbers 338, 730, 856, 723 is 1

2. How to calculate the greatest common divisor of 338, 730, 856, 723?

We can find the highest common divisor of 338, 730, 856, 723 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 338, 730, 856, 723 i.e 1.

3. How can I use the GCD of 338, 730, 856, 723Calculator?

Out the numbers 338, 730, 856, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.