GCD of 999, 354, 344, 838 Calculator

Given Input numbers are 999, 354, 344, 838

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

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (999, 354, 344, 838) = 1.

Given numbers are 999, 354, 344, 838

The list of prime factors of all numbers are

Prime factors of 999 are 3 x 3 x 3 x 37

Prime factors of 354 are 2 x 3 x 59

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 838 are 2 x 419

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

Given numbers are 999, 354, 344, 838

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

Apply this formula for all numbers.

Step1:

LCM(999, 354) = 117882

GCD(999, 354) = ( 999 x 354 ) / 117882

= 999 / 354

= 999

Step2:

LCM(3, 344) = 1032

GCD(3, 344) = ( 3 x 344 ) / 1032

= 3 / 344

= 3

Step3:

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

= 1 / 838

= 1

So, Greatest Common Divisor of 999, 354, 344, 838 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 641, 208, 757, 726
• GCD of 129, 731, 341, 407
• GCD of 467, 707, 689, 623
• GCD of 879, 319, 438, 136
• GCD of 766, 968, 915, 140

Given numbers are 999, 354, 344, 838
The greatest common divisor of numbers 999, 354, 344, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 354, 344, 838 is 1.

1. What is the GCD of 999, 354, 344, 838?

GCD of given numbers 999, 354, 344, 838 is 1

2. How to calculate the greatest common divisor of 999, 354, 344, 838?

We can find the highest common divisor of 999, 354, 344, 838 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 999, 354, 344, 838 i.e 1.

3. How can I use the GCD of 999, 354, 344, 838Calculator?

Out the numbers 999, 354, 344, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.