GCD of 144, 233, 96, 704 Calculator

Given Input numbers are 144, 233, 96, 704

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

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 233 :

The positive integer divisors of 233 that completely divides 233 are.

1, 233

Divisors of 96 :

The positive integer divisors of 96 that completely divides 96 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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 (144, 233, 96, 704) = 1.

Given numbers are 144, 233, 96, 704

The list of prime factors of all numbers are

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

Prime factors of 233 are 233

Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3

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

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

Given numbers are 144, 233, 96, 704

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

Apply this formula for all numbers.

Step1:

LCM(144, 233) = 33552

GCD(144, 233) = ( 144 x 233 ) / 33552

= 144 / 233

= 144

Step2:

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

= 1 / 96

= 1

Step3:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

So, Greatest Common Divisor of 144, 233, 96, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 234, 17, 655
• GCD of 472, 842, 98, 820
• GCD of 120, 341, 50, 416
• GCD of 532, 765, 50, 391
• GCD of 414, 364, 54, 117

Given numbers are 144, 233, 96, 704
The greatest common divisor of numbers 144, 233, 96, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 233, 96, 704 is 1.

1. What is the GCD of 144, 233, 96, 704?

GCD of given numbers 144, 233, 96, 704 is 1

2. How to calculate the greatest common divisor of 144, 233, 96, 704?

We can find the highest common divisor of 144, 233, 96, 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 144, 233, 96, 704 i.e 1.

3. How can I use the GCD of 144, 233, 96, 704Calculator?

Out the numbers 144, 233, 96, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.