GCD of 303, 960, 165, 735 Calculator

Given Input numbers are 303, 960, 165, 735

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

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 165 :

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

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

GCD of numbers is the greatest common divisor

So, the GCD (303, 960, 165, 735) = 3.

Given numbers are 303, 960, 165, 735

The list of prime factors of all numbers are

Prime factors of 303 are 3 x 101

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 165 are 3 x 5 x 11

Prime factors of 735 are 3 x 5 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 303, 960, 165, 735 is 3.

Given numbers are 303, 960, 165, 735

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

Apply this formula for all numbers.

Step1:

LCM(303, 960) = 96960

GCD(303, 960) = ( 303 x 960 ) / 96960

= 303 / 960

= 303

Step2:

LCM(3, 165) = 165

GCD(3, 165) = ( 3 x 165 ) / 165

= 3 / 165

= 3

Step3:

LCM(3, 735) = 735

GCD(3, 735) = ( 3 x 735 ) / 735

= 3 / 735

= 3

So, Greatest Common Divisor of 303, 960, 165, 735 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 507, 580, 123
• GCD of 181, 712, 740, 664
• GCD of 826, 463, 793, 619
• GCD of 193, 321, 509, 108
• GCD of 157, 280, 333, 537

Given numbers are 303, 960, 165, 735
The greatest common divisor of numbers 303, 960, 165, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 303, 960, 165, 735 is 3.

1. What is the GCD of 303, 960, 165, 735?

GCD of given numbers 303, 960, 165, 735 is 3

2. How to calculate the greatest common divisor of 303, 960, 165, 735?

We can find the highest common divisor of 303, 960, 165, 735 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 303, 960, 165, 735 i.e 3.

3. How can I use the GCD of 303, 960, 165, 735Calculator?

Out the numbers 303, 960, 165, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.