GCD of 704, 420, 622, 230 Calculator

Given Input numbers are 704, 420, 622, 230

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 622 :

The positive integer divisors of 622 that completely divides 622 are.

1, 2, 311, 622

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

GCD of numbers is the greatest common divisor

So, the GCD (704, 420, 622, 230) = 2.

Given numbers are 704, 420, 622, 230

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 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 622 are 2 x 311

Prime factors of 230 are 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 704, 420, 622, 230 is 2.

Given numbers are 704, 420, 622, 230

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

Apply this formula for all numbers.

Step1:

LCM(704, 420) = 73920

GCD(704, 420) = ( 704 x 420 ) / 73920

= 704 / 420

= 704

Step2:

LCM(4, 622) = 1244

GCD(4, 622) = ( 4 x 622 ) / 1244

= 4 / 622

= 4

Step3:

LCM(2, 230) = 230

GCD(2, 230) = ( 2 x 230 ) / 230

= 2 / 230

= 2

So, Greatest Common Divisor of 704, 420, 622, 230 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 729, 426, 935, 842
• GCD of 194, 696, 641, 605
• GCD of 879, 896, 247, 428
• GCD of 750, 497, 327, 838
• GCD of 459, 843, 819, 208

Given numbers are 704, 420, 622, 230
The greatest common divisor of numbers 704, 420, 622, 230 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 420, 622, 230 is 2.

1. What is the GCD of 704, 420, 622, 230?

GCD of given numbers 704, 420, 622, 230 is 2

2. How to calculate the greatest common divisor of 704, 420, 622, 230?

We can find the highest common divisor of 704, 420, 622, 230 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, 420, 622, 230 i.e 2.

3. How can I use the GCD of 704, 420, 622, 230Calculator?

Out the numbers 704, 420, 622, 230 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.