GCD of 729, 282, 102 Calculator

Given Input numbers are 729, 282, 102

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 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 102 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (729, 282, 102) = 3.

Given numbers are 729, 282, 102

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 282 are 2 x 3 x 47

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 729, 282, 102 is 3.

Given numbers are 729, 282, 102

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

Apply this formula for all numbers.

Step1:

LCM(729, 282) = 68526

GCD(729, 282) = ( 729 x 282 ) / 68526

= 729 / 282

= 729

Step2:

LCM(3, 102) = 102

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

= 3 / 102

= 3

So, Greatest Common Divisor of 729, 282, 102 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 352, 523
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• GCD of 834, 573, 263
• GCD of 356, 985, 324
• GCD of 899, 699, 274

Given numbers are 729, 282, 102
The greatest common divisor of numbers 729, 282, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 282, 102 is 3.

1. What is the GCD of 729, 282, 102?

GCD of given numbers 729, 282, 102 is 3

2. How to calculate the greatest common divisor of 729, 282, 102?

We can find the highest common divisor of 729, 282, 102 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, 282, 102 i.e 3.

3. How can I use the GCD of 729, 282, 102Calculator?

Out the numbers 729, 282, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.