GCD of 704, 204, 41, 966 Calculator

Given Input numbers are 704, 204, 41, 966

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 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 41 :

The positive integer divisors of 41 that completely divides 41 are.

1, 41

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

GCD of numbers is the greatest common divisor

So, the GCD (704, 204, 41, 966) = 1.

Given numbers are 704, 204, 41, 966

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 204 are 2 x 2 x 3 x 17

Prime factors of 41 are 41

Prime factors of 966 are 2 x 3 x 7 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 704, 204, 41, 966

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

Apply this formula for all numbers.

Step1:

LCM(704, 204) = 35904

GCD(704, 204) = ( 704 x 204 ) / 35904

= 704 / 204

= 704

Step2:

LCM(4, 41) = 164

GCD(4, 41) = ( 4 x 41 ) / 164

= 4 / 41

= 4

Step3:

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

= 1 / 966

= 1

So, Greatest Common Divisor of 704, 204, 41, 966 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 807, 528, 71, 642
• GCD of 892, 733, 90, 329
• GCD of 714, 550, 36, 157
• GCD of 344, 580, 51, 520
• GCD of 850, 388, 23, 940

Given numbers are 704, 204, 41, 966
The greatest common divisor of numbers 704, 204, 41, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 204, 41, 966 is 1.

1. What is the GCD of 704, 204, 41, 966?

GCD of given numbers 704, 204, 41, 966 is 1

2. How to calculate the greatest common divisor of 704, 204, 41, 966?

We can find the highest common divisor of 704, 204, 41, 966 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, 204, 41, 966 i.e 1.

3. How can I use the GCD of 704, 204, 41, 966Calculator?

Out the numbers 704, 204, 41, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.