GCD of 733, 312, 165, 289 Calculator

Given Input numbers are 733, 312, 165, 289

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

Divisors of 733 :

The positive integer divisors of 733 that completely divides 733 are.

1, 733

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (733, 312, 165, 289) = 1.

Given numbers are 733, 312, 165, 289

The list of prime factors of all numbers are

Prime factors of 733 are 733

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 165 are 3 x 5 x 11

Prime factors of 289 are 17 x 17

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

Given numbers are 733, 312, 165, 289

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

Apply this formula for all numbers.

Step1:

LCM(733, 312) = 228696

GCD(733, 312) = ( 733 x 312 ) / 228696

= 733 / 312

= 733

Step2:

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

= 1 / 165

= 1

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 733, 312, 165, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 774, 955, 208
• GCD of 935, 274, 739, 669
• GCD of 431, 266, 350, 380
• GCD of 702, 112, 317, 731
• GCD of 944, 620, 900, 408

Given numbers are 733, 312, 165, 289
The greatest common divisor of numbers 733, 312, 165, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 733, 312, 165, 289 is 1.

1. What is the GCD of 733, 312, 165, 289?

GCD of given numbers 733, 312, 165, 289 is 1

2. How to calculate the greatest common divisor of 733, 312, 165, 289?

We can find the highest common divisor of 733, 312, 165, 289 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 733, 312, 165, 289 i.e 1.

3. How can I use the GCD of 733, 312, 165, 289Calculator?

Out the numbers 733, 312, 165, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.