GCD of 208, 965, 144, 304 Calculator

Given Input numbers are 208, 965, 144, 304

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

GCD of numbers is the greatest common divisor

So, the GCD (208, 965, 144, 304) = 1.

Given numbers are 208, 965, 144, 304

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 965 are 5 x 193

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

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

Given numbers are 208, 965, 144, 304

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

Apply this formula for all numbers.

Step1:

LCM(208, 965) = 200720

GCD(208, 965) = ( 208 x 965 ) / 200720

= 208 / 965

= 208

Step2:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

Step3:

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

= 1 / 304

= 1

So, Greatest Common Divisor of 208, 965, 144, 304 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 554, 406, 487
• GCD of 409, 965, 683, 654
• GCD of 401, 413, 559, 888
• GCD of 774, 181, 276, 451
• GCD of 987, 159, 243, 313

Given numbers are 208, 965, 144, 304
The greatest common divisor of numbers 208, 965, 144, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 965, 144, 304 is 1.

1. What is the GCD of 208, 965, 144, 304?

GCD of given numbers 208, 965, 144, 304 is 1

2. How to calculate the greatest common divisor of 208, 965, 144, 304?

We can find the highest common divisor of 208, 965, 144, 304 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 208, 965, 144, 304 i.e 1.

3. How can I use the GCD of 208, 965, 144, 304Calculator?

Out the numbers 208, 965, 144, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.