GCD of 294, 729, 699, 564 Calculator

Given Input numbers are 294, 729, 699, 564

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

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 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (294, 729, 699, 564) = 3.

Given numbers are 294, 729, 699, 564

The list of prime factors of all numbers are

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 699 are 3 x 233

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 294, 729, 699, 564 is 3.

Given numbers are 294, 729, 699, 564

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

Apply this formula for all numbers.

Step1:

LCM(294, 729) = 71442

GCD(294, 729) = ( 294 x 729 ) / 71442

= 294 / 729

= 294

Step2:

LCM(3, 699) = 699

GCD(3, 699) = ( 3 x 699 ) / 699

= 3 / 699

= 3

Step3:

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

= 3 / 564

= 3

So, Greatest Common Divisor of 294, 729, 699, 564 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 420, 513, 566
• GCD of 839, 116, 632, 251
• GCD of 906, 155, 199, 711
• GCD of 655, 197, 580, 249
• GCD of 675, 264, 145, 816

Given numbers are 294, 729, 699, 564
The greatest common divisor of numbers 294, 729, 699, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 294, 729, 699, 564 is 3.

1. What is the GCD of 294, 729, 699, 564?

GCD of given numbers 294, 729, 699, 564 is 3

2. How to calculate the greatest common divisor of 294, 729, 699, 564?

We can find the highest common divisor of 294, 729, 699, 564 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 294, 729, 699, 564 i.e 3.

3. How can I use the GCD of 294, 729, 699, 564Calculator?

Out the numbers 294, 729, 699, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.