GCD of 996, 288, 174 Calculator

Given Input numbers are 996, 288, 174

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 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

GCD of numbers is the greatest common divisor

So, the GCD (996, 288, 174) = 6.

Given numbers are 996, 288, 174

The list of prime factors of all numbers are

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

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 174 are 2 x 3 x 29

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 996, 288, 174 is 6.

Given numbers are 996, 288, 174

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

Apply this formula for all numbers.

Step1:

LCM(996, 288) = 23904

GCD(996, 288) = ( 996 x 288 ) / 23904

= 996 / 288

= 996

Step2:

LCM(12, 174) = 348

GCD(12, 174) = ( 12 x 174 ) / 348

= 12 / 174

= 12

So, Greatest Common Divisor of 996, 288, 174 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 656, 998
• GCD of 778, 243, 858
• GCD of 304, 703, 271
• GCD of 430, 354, 263
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Given numbers are 996, 288, 174
The greatest common divisor of numbers 996, 288, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 288, 174 is 6.

1. What is the GCD of 996, 288, 174?

GCD of given numbers 996, 288, 174 is 6

2. How to calculate the greatest common divisor of 996, 288, 174?

We can find the highest common divisor of 996, 288, 174 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, 288, 174 i.e 6.

3. How can I use the GCD of 996, 288, 174Calculator?

Out the numbers 996, 288, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.