GCD of 729, 309, 102, 348 Calculator

Given Input numbers are 729, 309, 102, 348

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

Divisors of 729 :

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

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (729, 309, 102, 348) = 3.

Given numbers are 729, 309, 102, 348

The list of prime factors of all numbers are

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

Prime factors of 309 are 3 x 103

Prime factors of 102 are 2 x 3 x 17

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 729, 309, 102, 348 is 3.

Given numbers are 729, 309, 102, 348

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

Apply this formula for all numbers.

Step1:

LCM(729, 309) = 75087

GCD(729, 309) = ( 729 x 309 ) / 75087

= 729 / 309

= 729

Step2:

LCM(3, 102) = 102

GCD(3, 102) = ( 3 x 102 ) / 102

= 3 / 102

= 3

Step3:

LCM(3, 348) = 348

GCD(3, 348) = ( 3 x 348 ) / 348

= 3 / 348

= 3

So, Greatest Common Divisor of 729, 309, 102, 348 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 155, 298, 311, 571
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• GCD of 369, 577, 406, 898
• GCD of 482, 655, 902, 521
• GCD of 553, 118, 195, 427

Given numbers are 729, 309, 102, 348
The greatest common divisor of numbers 729, 309, 102, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 309, 102, 348 is 3.

1. What is the GCD of 729, 309, 102, 348?

GCD of given numbers 729, 309, 102, 348 is 3

2. How to calculate the greatest common divisor of 729, 309, 102, 348?

We can find the highest common divisor of 729, 309, 102, 348 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 729, 309, 102, 348 i.e 3.

3. How can I use the GCD of 729, 309, 102, 348Calculator?

Out the numbers 729, 309, 102, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.