GCD of 204, 206, 788, 704 Calculator

Given Input numbers are 204, 206, 788, 704

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

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

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

GCD of numbers is the greatest common divisor

So, the GCD (204, 206, 788, 704) = 2.

Given numbers are 204, 206, 788, 704

The list of prime factors of all numbers are

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 206 are 2 x 103

Prime factors of 788 are 2 x 2 x 197

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

The highest common occurrence is 2¹

Therefore, GCD of 204, 206, 788, 704 is 2.

Given numbers are 204, 206, 788, 704

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

Apply this formula for all numbers.

Step1:

LCM(204, 206) = 21012

GCD(204, 206) = ( 204 x 206 ) / 21012

= 204 / 206

= 204

Step2:

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

= 2 / 788

= 2

Step3:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

So, Greatest Common Divisor of 204, 206, 788, 704 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 648, 448, 610
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Given numbers are 204, 206, 788, 704
The greatest common divisor of numbers 204, 206, 788, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 206, 788, 704 is 2.

1. What is the GCD of 204, 206, 788, 704?

GCD of given numbers 204, 206, 788, 704 is 2

2. How to calculate the greatest common divisor of 204, 206, 788, 704?

We can find the highest common divisor of 204, 206, 788, 704 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 204, 206, 788, 704 i.e 2.

3. How can I use the GCD of 204, 206, 788, 704Calculator?

Out the numbers 204, 206, 788, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.