GCD of 729, 303, 906, 702 Calculator

Given Input numbers are 729, 303, 906, 702

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 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (729, 303, 906, 702) = 3.

Given numbers are 729, 303, 906, 702

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 303 are 3 x 101

Prime factors of 906 are 2 x 3 x 151

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 729, 303, 906, 702 is 3.

Given numbers are 729, 303, 906, 702

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

Apply this formula for all numbers.

Step1:

LCM(729, 303) = 73629

GCD(729, 303) = ( 729 x 303 ) / 73629

= 729 / 303

= 729

Step2:

LCM(3, 906) = 906

GCD(3, 906) = ( 3 x 906 ) / 906

= 3 / 906

= 3

Step3:

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

= 3 / 702

= 3

So, Greatest Common Divisor of 729, 303, 906, 702 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 360, 982, 828, 300
• GCD of 865, 102, 380, 390
• GCD of 680, 870, 236, 147
• GCD of 272, 814, 712, 572
• GCD of 907, 739, 842, 449

Given numbers are 729, 303, 906, 702
The greatest common divisor of numbers 729, 303, 906, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 303, 906, 702 is 3.

1. What is the GCD of 729, 303, 906, 702?

GCD of given numbers 729, 303, 906, 702 is 3

2. How to calculate the greatest common divisor of 729, 303, 906, 702?

We can find the highest common divisor of 729, 303, 906, 702 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, 303, 906, 702 i.e 3.

3. How can I use the GCD of 729, 303, 906, 702Calculator?

Out the numbers 729, 303, 906, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.