GCD of 730, 994, 828, 394 Calculator

Given Input numbers are 730, 994, 828, 394

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

Divisors of 730 :

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

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

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

GCD of numbers is the greatest common divisor

So, the GCD (730, 994, 828, 394) = 2.

Given numbers are 730, 994, 828, 394

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 994 are 2 x 7 x 71

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 394 are 2 x 197

The highest common occurrence is 2¹

Therefore, GCD of 730, 994, 828, 394 is 2.

Given numbers are 730, 994, 828, 394

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

Apply this formula for all numbers.

Step1:

LCM(730, 994) = 362810

GCD(730, 994) = ( 730 x 994 ) / 362810

= 730 / 994

= 730

Step2:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

Step3:

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

= 2 / 394

= 2

So, Greatest Common Divisor of 730, 994, 828, 394 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 427, 145, 650
• GCD of 169, 940, 746, 314
• GCD of 224, 229, 191, 910
• GCD of 945, 370, 761, 589
• GCD of 536, 666, 805, 401

Given numbers are 730, 994, 828, 394
The greatest common divisor of numbers 730, 994, 828, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 994, 828, 394 is 2.

1. What is the GCD of 730, 994, 828, 394?

GCD of given numbers 730, 994, 828, 394 is 2

2. How to calculate the greatest common divisor of 730, 994, 828, 394?

We can find the highest common divisor of 730, 994, 828, 394 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 730, 994, 828, 394 i.e 2.

3. How can I use the GCD of 730, 994, 828, 394Calculator?

Out the numbers 730, 994, 828, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.