GCD of 312, 338, 809, 375 Calculator

Given Input numbers are 312, 338, 809, 375

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 809 :

The positive integer divisors of 809 that completely divides 809 are.

1, 809

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

GCD of numbers is the greatest common divisor

So, the GCD (312, 338, 809, 375) = 1.

Given numbers are 312, 338, 809, 375

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 338 are 2 x 13 x 13

Prime factors of 809 are 809

Prime factors of 375 are 3 x 5 x 5 x 5

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

Given numbers are 312, 338, 809, 375

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

Apply this formula for all numbers.

Step1:

LCM(312, 338) = 4056

GCD(312, 338) = ( 312 x 338 ) / 4056

= 312 / 338

= 312

Step2:

LCM(26, 809) = 21034

GCD(26, 809) = ( 26 x 809 ) / 21034

= 26 / 809

= 26

Step3:

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

= 1 / 375

= 1

So, Greatest Common Divisor of 312, 338, 809, 375 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 510, 953, 389, 687
• GCD of 747, 268, 477, 307
• GCD of 151, 355, 971, 998
• GCD of 138, 553, 504, 888
• GCD of 955, 352, 973, 192

Given numbers are 312, 338, 809, 375
The greatest common divisor of numbers 312, 338, 809, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 338, 809, 375 is 1.

1. What is the GCD of 312, 338, 809, 375?

GCD of given numbers 312, 338, 809, 375 is 1

2. How to calculate the greatest common divisor of 312, 338, 809, 375?

We can find the highest common divisor of 312, 338, 809, 375 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 312, 338, 809, 375 i.e 1.

3. How can I use the GCD of 312, 338, 809, 375Calculator?

Out the numbers 312, 338, 809, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.