GCD of 729, 675, 486, 338 Calculator

Given Input numbers are 729, 675, 486, 338

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 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (729, 675, 486, 338) = 1.

Given numbers are 729, 675, 486, 338

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 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 338 are 2 x 13 x 13

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

Given numbers are 729, 675, 486, 338

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

Apply this formula for all numbers.

Step1:

LCM(729, 675) = 18225

GCD(729, 675) = ( 729 x 675 ) / 18225

= 729 / 675

= 729

Step2:

LCM(27, 486) = 486

GCD(27, 486) = ( 27 x 486 ) / 486

= 27 / 486

= 27

Step3:

LCM(27, 338) = 9126

GCD(27, 338) = ( 27 x 338 ) / 9126

= 27 / 338

= 27

So, Greatest Common Divisor of 729, 675, 486, 338 is 1

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Given numbers are 729, 675, 486, 338
The greatest common divisor of numbers 729, 675, 486, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 675, 486, 338 is 1.

1. What is the GCD of 729, 675, 486, 338?

GCD of given numbers 729, 675, 486, 338 is 1

2. How to calculate the greatest common divisor of 729, 675, 486, 338?

We can find the highest common divisor of 729, 675, 486, 338 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, 675, 486, 338 i.e 1.

3. How can I use the GCD of 729, 675, 486, 338Calculator?

Out the numbers 729, 675, 486, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.