GCD of 704, 790, 200, 306 Calculator

Given Input numbers are 704, 790, 200, 306

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

GCD of numbers is the greatest common divisor

So, the GCD (704, 790, 200, 306) = 2.

Given numbers are 704, 790, 200, 306

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 790 are 2 x 5 x 79

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 306 are 2 x 3 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 704, 790, 200, 306 is 2.

Given numbers are 704, 790, 200, 306

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

Apply this formula for all numbers.

Step1:

LCM(704, 790) = 278080

GCD(704, 790) = ( 704 x 790 ) / 278080

= 704 / 790

= 704

Step2:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

Step3:

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

= 2 / 306

= 2

So, Greatest Common Divisor of 704, 790, 200, 306 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 122, 392, 167
• GCD of 929, 249, 576, 986
• GCD of 327, 915, 998, 104
• GCD of 816, 560, 255, 208
• GCD of 989, 412, 743, 762

Given numbers are 704, 790, 200, 306
The greatest common divisor of numbers 704, 790, 200, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 790, 200, 306 is 2.

1. What is the GCD of 704, 790, 200, 306?

GCD of given numbers 704, 790, 200, 306 is 2

2. How to calculate the greatest common divisor of 704, 790, 200, 306?

We can find the highest common divisor of 704, 790, 200, 306 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 704, 790, 200, 306 i.e 2.

3. How can I use the GCD of 704, 790, 200, 306Calculator?

Out the numbers 704, 790, 200, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.