GCD of 729, 714, 639, 867 Calculator

Given Input numbers are 729, 714, 639, 867

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 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 639 :

The positive integer divisors of 639 that completely divides 639 are.

1, 3, 9, 71, 213, 639

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

GCD of numbers is the greatest common divisor

So, the GCD (729, 714, 639, 867) = 3.

Given numbers are 729, 714, 639, 867

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 714 are 2 x 3 x 7 x 17

Prime factors of 639 are 3 x 3 x 71

Prime factors of 867 are 3 x 17 x 17

The highest common occurrence is 3¹

Therefore, GCD of 729, 714, 639, 867 is 3.

Given numbers are 729, 714, 639, 867

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

Apply this formula for all numbers.

Step1:

LCM(729, 714) = 173502

GCD(729, 714) = ( 729 x 714 ) / 173502

= 729 / 714

= 729

Step2:

LCM(3, 639) = 639

GCD(3, 639) = ( 3 x 639 ) / 639

= 3 / 639

= 3

Step3:

LCM(3, 867) = 867

GCD(3, 867) = ( 3 x 867 ) / 867

= 3 / 867

= 3

So, Greatest Common Divisor of 729, 714, 639, 867 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 707, 239, 625
• GCD of 747, 763, 577, 123
• GCD of 557, 701, 238, 658
• GCD of 232, 290, 577, 280
• GCD of 258, 800, 544, 317

Given numbers are 729, 714, 639, 867
The greatest common divisor of numbers 729, 714, 639, 867 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 714, 639, 867 is 3.

1. What is the GCD of 729, 714, 639, 867?

GCD of given numbers 729, 714, 639, 867 is 3

2. How to calculate the greatest common divisor of 729, 714, 639, 867?

We can find the highest common divisor of 729, 714, 639, 867 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, 714, 639, 867 i.e 3.

3. How can I use the GCD of 729, 714, 639, 867Calculator?

Out the numbers 729, 714, 639, 867 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.