GCD of 338, 310, 304, 821 Calculator

Given Input numbers are 338, 310, 304, 821

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 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (338, 310, 304, 821) = 1.

Given numbers are 338, 310, 304, 821

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 310 are 2 x 5 x 31

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 821 are 821

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

Given numbers are 338, 310, 304, 821

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

Apply this formula for all numbers.

Step1:

LCM(338, 310) = 52390

GCD(338, 310) = ( 338 x 310 ) / 52390

= 338 / 310

= 338

Step2:

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

= 2 / 304

= 2

Step3:

LCM(2, 821) = 1642

GCD(2, 821) = ( 2 x 821 ) / 1642

= 2 / 821

= 2

So, Greatest Common Divisor of 338, 310, 304, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 641, 191, 337
• GCD of 458, 533, 813, 995
• GCD of 190, 659, 163, 354
• GCD of 593, 876, 139, 516
• GCD of 704, 652, 845, 809

Given numbers are 338, 310, 304, 821
The greatest common divisor of numbers 338, 310, 304, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 310, 304, 821 is 1.

1. What is the GCD of 338, 310, 304, 821?

GCD of given numbers 338, 310, 304, 821 is 1

2. How to calculate the greatest common divisor of 338, 310, 304, 821?

We can find the highest common divisor of 338, 310, 304, 821 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, 310, 304, 821 i.e 1.

3. How can I use the GCD of 338, 310, 304, 821Calculator?

Out the numbers 338, 310, 304, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.