GCD of 516, 294, 729, 681 Calculator

Given Input numbers are 516, 294, 729, 681

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

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 729 :

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

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

Divisors of 681 :

The positive integer divisors of 681 that completely divides 681 are.

1, 3, 227, 681

GCD of numbers is the greatest common divisor

So, the GCD (516, 294, 729, 681) = 3.

Given numbers are 516, 294, 729, 681

The list of prime factors of all numbers are

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 294 are 2 x 3 x 7 x 7

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

Prime factors of 681 are 3 x 227

The highest common occurrence is 3¹

Therefore, GCD of 516, 294, 729, 681 is 3.

Given numbers are 516, 294, 729, 681

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

Apply this formula for all numbers.

Step1:

LCM(516, 294) = 25284

GCD(516, 294) = ( 516 x 294 ) / 25284

= 516 / 294

= 516

Step2:

LCM(6, 729) = 1458

GCD(6, 729) = ( 6 x 729 ) / 1458

= 6 / 729

= 6

Step3:

LCM(3, 681) = 681

GCD(3, 681) = ( 3 x 681 ) / 681

= 3 / 681

= 3

So, Greatest Common Divisor of 516, 294, 729, 681 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 723, 988, 970
• GCD of 928, 445, 359, 667
• GCD of 217, 101, 184, 747
• GCD of 530, 240, 134, 812
• GCD of 130, 990, 987, 470

Given numbers are 516, 294, 729, 681
The greatest common divisor of numbers 516, 294, 729, 681 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 294, 729, 681 is 3.

1. What is the GCD of 516, 294, 729, 681?

GCD of given numbers 516, 294, 729, 681 is 3

2. How to calculate the greatest common divisor of 516, 294, 729, 681?

We can find the highest common divisor of 516, 294, 729, 681 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 516, 294, 729, 681 i.e 3.

3. How can I use the GCD of 516, 294, 729, 681Calculator?

Out the numbers 516, 294, 729, 681 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.