GCD of 996, 705, 33, 648 Calculator

Given Input numbers are 996, 705, 33, 648

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

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 33 :

The positive integer divisors of 33 that completely divides 33 are.

1, 3, 11, 33

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (996, 705, 33, 648) = 3.

Given numbers are 996, 705, 33, 648

The list of prime factors of all numbers are

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

Prime factors of 705 are 3 x 5 x 47

Prime factors of 33 are 3 x 11

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 996, 705, 33, 648 is 3.

Given numbers are 996, 705, 33, 648

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

Apply this formula for all numbers.

Step1:

LCM(996, 705) = 234060

GCD(996, 705) = ( 996 x 705 ) / 234060

= 996 / 705

= 996

Step2:

LCM(3, 33) = 33

GCD(3, 33) = ( 3 x 33 ) / 33

= 3 / 33

= 3

Step3:

LCM(3, 648) = 648

GCD(3, 648) = ( 3 x 648 ) / 648

= 3 / 648

= 3

So, Greatest Common Divisor of 996, 705, 33, 648 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 280, 14, 587
• GCD of 864, 103, 20, 222
• GCD of 505, 771, 36, 123
• GCD of 107, 217, 61, 735
• GCD of 346, 823, 59, 231

Given numbers are 996, 705, 33, 648
The greatest common divisor of numbers 996, 705, 33, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 705, 33, 648 is 3.

1. What is the GCD of 996, 705, 33, 648?

GCD of given numbers 996, 705, 33, 648 is 3

2. How to calculate the greatest common divisor of 996, 705, 33, 648?

We can find the highest common divisor of 996, 705, 33, 648 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 996, 705, 33, 648 i.e 3.

3. How can I use the GCD of 996, 705, 33, 648Calculator?

Out the numbers 996, 705, 33, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.