GCD of 318, 753, 780, 729 Calculator

Given Input numbers are 318, 753, 780, 729

In the factoring method, we have to find the divisors of all numbers

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

GCD of numbers is the greatest common divisor

So, the GCD (318, 753, 780, 729) = 3.

Given numbers are 318, 753, 780, 729

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 753 are 3 x 251

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 318, 753, 780, 729 is 3.

Given numbers are 318, 753, 780, 729

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

Apply this formula for all numbers.

Step1:

LCM(318, 753) = 79818

GCD(318, 753) = ( 318 x 753 ) / 79818

= 318 / 753

= 318

Step2:

LCM(3, 780) = 780

GCD(3, 780) = ( 3 x 780 ) / 780

= 3 / 780

= 3

Step3:

LCM(3, 729) = 729

GCD(3, 729) = ( 3 x 729 ) / 729

= 3 / 729

= 3

So, Greatest Common Divisor of 318, 753, 780, 729 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 709, 775, 232, 626
• GCD of 114, 107, 540, 781
• GCD of 742, 547, 564, 575
• GCD of 418, 106, 913, 195
• GCD of 215, 458, 265, 922

Given numbers are 318, 753, 780, 729
The greatest common divisor of numbers 318, 753, 780, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 753, 780, 729 is 3.

1. What is the GCD of 318, 753, 780, 729?

GCD of given numbers 318, 753, 780, 729 is 3

2. How to calculate the greatest common divisor of 318, 753, 780, 729?

We can find the highest common divisor of 318, 753, 780, 729 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 318, 753, 780, 729 i.e 3.

3. How can I use the GCD of 318, 753, 780, 729Calculator?

Out the numbers 318, 753, 780, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.