GCD of 120, 165, 600, 996 Calculator

Given Input numbers are 120, 165, 600, 996

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 165 :

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

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (120, 165, 600, 996) = 3.

Given numbers are 120, 165, 600, 996

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 165 are 3 x 5 x 11

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 996 are 2 x 2 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 120, 165, 600, 996 is 3.

Given numbers are 120, 165, 600, 996

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

Apply this formula for all numbers.

Step1:

LCM(120, 165) = 1320

GCD(120, 165) = ( 120 x 165 ) / 1320

= 120 / 165

= 120

Step2:

LCM(15, 600) = 600

GCD(15, 600) = ( 15 x 600 ) / 600

= 15 / 600

= 15

Step3:

LCM(15, 996) = 4980

GCD(15, 996) = ( 15 x 996 ) / 4980

= 15 / 996

= 15

So, Greatest Common Divisor of 120, 165, 600, 996 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 431, 479, 576
• GCD of 624, 646, 295, 226
• GCD of 680, 643, 509, 338
• GCD of 727, 584, 776, 369
• GCD of 326, 823, 294, 314

Given numbers are 120, 165, 600, 996
The greatest common divisor of numbers 120, 165, 600, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 165, 600, 996 is 3.

1. What is the GCD of 120, 165, 600, 996?

GCD of given numbers 120, 165, 600, 996 is 3

2. How to calculate the greatest common divisor of 120, 165, 600, 996?

We can find the highest common divisor of 120, 165, 600, 996 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 120, 165, 600, 996 i.e 3.

3. How can I use the GCD of 120, 165, 600, 996Calculator?

Out the numbers 120, 165, 600, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.