GCD of 729, 120, 705, 850 Calculator

Given Input numbers are 729, 120, 705, 850

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

GCD of numbers is the greatest common divisor

So, the GCD (729, 120, 705, 850) = 1.

Given numbers are 729, 120, 705, 850

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 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 705 are 3 x 5 x 47

Prime factors of 850 are 2 x 5 x 5 x 17

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

Given numbers are 729, 120, 705, 850

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

Apply this formula for all numbers.

Step1:

LCM(729, 120) = 29160

GCD(729, 120) = ( 729 x 120 ) / 29160

= 729 / 120

= 729

Step2:

LCM(3, 705) = 705

GCD(3, 705) = ( 3 x 705 ) / 705

= 3 / 705

= 3

Step3:

LCM(3, 850) = 2550

GCD(3, 850) = ( 3 x 850 ) / 2550

= 3 / 850

= 3

So, Greatest Common Divisor of 729, 120, 705, 850 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 746, 809, 643, 551
• GCD of 126, 396, 510, 678
• GCD of 517, 936, 333, 443
• GCD of 706, 329, 240, 913
• GCD of 121, 171, 513, 428

Given numbers are 729, 120, 705, 850
The greatest common divisor of numbers 729, 120, 705, 850 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 120, 705, 850 is 1.

1. What is the GCD of 729, 120, 705, 850?

GCD of given numbers 729, 120, 705, 850 is 1

2. How to calculate the greatest common divisor of 729, 120, 705, 850?

We can find the highest common divisor of 729, 120, 705, 850 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, 120, 705, 850 i.e 1.

3. How can I use the GCD of 729, 120, 705, 850Calculator?

Out the numbers 729, 120, 705, 850 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.