GCD of 648, 342, 84, 296 Calculator

Given Input numbers are 648, 342, 84, 296

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

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

GCD of numbers is the greatest common divisor

So, the GCD (648, 342, 84, 296) = 2.

Given numbers are 648, 342, 84, 296

The list of prime factors of all numbers are

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

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 84 are 2 x 2 x 3 x 7

Prime factors of 296 are 2 x 2 x 2 x 37

The highest common occurrence is 2¹

Therefore, GCD of 648, 342, 84, 296 is 2.

Given numbers are 648, 342, 84, 296

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

Apply this formula for all numbers.

Step1:

LCM(648, 342) = 12312

GCD(648, 342) = ( 648 x 342 ) / 12312

= 648 / 342

= 648

Step2:

LCM(18, 84) = 252

GCD(18, 84) = ( 18 x 84 ) / 252

= 18 / 84

= 18

Step3:

LCM(6, 296) = 888

GCD(6, 296) = ( 6 x 296 ) / 888

= 6 / 296

= 6

So, Greatest Common Divisor of 648, 342, 84, 296 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 937, 631, 29, 536
• GCD of 723, 585, 49, 849
• GCD of 565, 165, 13, 157
• GCD of 299, 700, 53, 458
• GCD of 325, 978, 43, 652

Given numbers are 648, 342, 84, 296
The greatest common divisor of numbers 648, 342, 84, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 342, 84, 296 is 2.

1. What is the GCD of 648, 342, 84, 296?

GCD of given numbers 648, 342, 84, 296 is 2

2. How to calculate the greatest common divisor of 648, 342, 84, 296?

We can find the highest common divisor of 648, 342, 84, 296 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 648, 342, 84, 296 i.e 2.

3. How can I use the GCD of 648, 342, 84, 296Calculator?

Out the numbers 648, 342, 84, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.