GCD of 642, 120, 333, 996 Calculator

Given Input numbers are 642, 120, 333, 996

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

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 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333

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 (642, 120, 333, 996) = 3.

Given numbers are 642, 120, 333, 996

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

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

Prime factors of 333 are 3 x 3 x 37

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

The highest common occurrence is 3¹

Therefore, GCD of 642, 120, 333, 996 is 3.

Given numbers are 642, 120, 333, 996

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

Apply this formula for all numbers.

Step1:

LCM(642, 120) = 12840

GCD(642, 120) = ( 642 x 120 ) / 12840

= 642 / 120

= 642

Step2:

LCM(6, 333) = 666

GCD(6, 333) = ( 6 x 333 ) / 666

= 6 / 333

= 6

Step3:

LCM(3, 996) = 996

GCD(3, 996) = ( 3 x 996 ) / 996

= 3 / 996

= 3

So, Greatest Common Divisor of 642, 120, 333, 996 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 143, 768, 266
• GCD of 928, 904, 587, 399
• GCD of 392, 679, 193, 769
• GCD of 936, 261, 942, 648
• GCD of 938, 589, 843, 948

Given numbers are 642, 120, 333, 996
The greatest common divisor of numbers 642, 120, 333, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 120, 333, 996 is 3.

1. What is the GCD of 642, 120, 333, 996?

GCD of given numbers 642, 120, 333, 996 is 3

2. How to calculate the greatest common divisor of 642, 120, 333, 996?

We can find the highest common divisor of 642, 120, 333, 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 642, 120, 333, 996 i.e 3.

3. How can I use the GCD of 642, 120, 333, 996Calculator?

Out the numbers 642, 120, 333, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.