GCD of 294, 730, 288, 696 Calculator

Given Input numbers are 294, 730, 288, 696

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 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

GCD of numbers is the greatest common divisor

So, the GCD (294, 730, 288, 696) = 2.

Given numbers are 294, 730, 288, 696

The list of prime factors of all numbers are

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

Prime factors of 730 are 2 x 5 x 73

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 294, 730, 288, 696 is 2.

Given numbers are 294, 730, 288, 696

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

Apply this formula for all numbers.

Step1:

LCM(294, 730) = 107310

GCD(294, 730) = ( 294 x 730 ) / 107310

= 294 / 730

= 294

Step2:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2

Step3:

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

= 2 / 696

= 2

So, Greatest Common Divisor of 294, 730, 288, 696 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 332, 485, 623
• GCD of 217, 377, 741, 984
• GCD of 874, 988, 249, 576
• GCD of 487, 643, 898, 460
• GCD of 937, 123, 526, 171

Given numbers are 294, 730, 288, 696
The greatest common divisor of numbers 294, 730, 288, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 294, 730, 288, 696 is 2.

1. What is the GCD of 294, 730, 288, 696?

GCD of given numbers 294, 730, 288, 696 is 2

2. How to calculate the greatest common divisor of 294, 730, 288, 696?

We can find the highest common divisor of 294, 730, 288, 696 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, 730, 288, 696 i.e 2.

3. How can I use the GCD of 294, 730, 288, 696Calculator?

Out the numbers 294, 730, 288, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.