GCD of 990, 343, 68, 296 Calculator

Given Input numbers are 990, 343, 68, 296

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 68 :

The positive integer divisors of 68 that completely divides 68 are.

1, 2, 4, 17, 34, 68

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

GCD of numbers is the greatest common divisor

So, the GCD (990, 343, 68, 296) = 1.

Given numbers are 990, 343, 68, 296

The list of prime factors of all numbers are

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 343 are 7 x 7 x 7

Prime factors of 68 are 2 x 2 x 17

Prime factors of 296 are 2 x 2 x 2 x 37

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

Given numbers are 990, 343, 68, 296

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

Apply this formula for all numbers.

Step1:

LCM(990, 343) = 339570

GCD(990, 343) = ( 990 x 343 ) / 339570

= 990 / 343

= 990

Step2:

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

= 1 / 68

= 1

Step3:

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

= 1 / 296

= 1

So, Greatest Common Divisor of 990, 343, 68, 296 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 667, 306, 98, 905
• GCD of 594, 256, 82, 950
• GCD of 874, 588, 17, 789
• GCD of 656, 348, 56, 460
• GCD of 676, 323, 46, 593

Given numbers are 990, 343, 68, 296
The greatest common divisor of numbers 990, 343, 68, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 343, 68, 296 is 1.

1. What is the GCD of 990, 343, 68, 296?

GCD of given numbers 990, 343, 68, 296 is 1

2. How to calculate the greatest common divisor of 990, 343, 68, 296?

We can find the highest common divisor of 990, 343, 68, 296 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 990, 343, 68, 296 i.e 1.

3. How can I use the GCD of 990, 343, 68, 296Calculator?

Out the numbers 990, 343, 68, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.