GCD of 984, 198, 352, 729 Calculator

Given Input numbers are 984, 198, 352, 729

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

GCD of numbers is the greatest common divisor

So, the GCD (984, 198, 352, 729) = 1.

Given numbers are 984, 198, 352, 729

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 984, 198, 352, 729

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

Apply this formula for all numbers.

Step1:

LCM(984, 198) = 32472

GCD(984, 198) = ( 984 x 198 ) / 32472

= 984 / 198

= 984

Step2:

LCM(6, 352) = 1056

GCD(6, 352) = ( 6 x 352 ) / 1056

= 6 / 352

= 6

Step3:

LCM(2, 729) = 1458

GCD(2, 729) = ( 2 x 729 ) / 1458

= 2 / 729

= 2

So, Greatest Common Divisor of 984, 198, 352, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 832, 607, 599, 190
• GCD of 125, 657, 297, 362
• GCD of 792, 744, 100, 688
• GCD of 103, 666, 641, 828
• GCD of 219, 846, 234, 804

Given numbers are 984, 198, 352, 729
The greatest common divisor of numbers 984, 198, 352, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 198, 352, 729 is 1.

1. What is the GCD of 984, 198, 352, 729?

GCD of given numbers 984, 198, 352, 729 is 1

2. How to calculate the greatest common divisor of 984, 198, 352, 729?

We can find the highest common divisor of 984, 198, 352, 729 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 984, 198, 352, 729 i.e 1.

3. How can I use the GCD of 984, 198, 352, 729Calculator?

Out the numbers 984, 198, 352, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.