GCD of 304, 132, 72, 296 Calculator

Given Input numbers are 304, 132, 72, 296

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

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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 (304, 132, 72, 296) = 4.

Given numbers are 304, 132, 72, 296

The list of prime factors of all numbers are

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

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

The highest common occurrence is 2²

Therefore, GCD of 304, 132, 72, 296 is 4.

Given numbers are 304, 132, 72, 296

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

Apply this formula for all numbers.

Step1:

LCM(304, 132) = 10032

GCD(304, 132) = ( 304 x 132 ) / 10032

= 304 / 132

= 304

Step2:

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

= 4 / 72

= 4

Step3:

LCM(4, 296) = 296

GCD(4, 296) = ( 4 x 296 ) / 296

= 4 / 296

= 4

So, Greatest Common Divisor of 304, 132, 72, 296 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 688, 128, 46, 369
• GCD of 648, 339, 79, 965
• GCD of 316, 770, 98, 795
• GCD of 991, 863, 66, 960
• GCD of 396, 970, 89, 193

Given numbers are 304, 132, 72, 296
The greatest common divisor of numbers 304, 132, 72, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 132, 72, 296 is 4.

1. What is the GCD of 304, 132, 72, 296?

GCD of given numbers 304, 132, 72, 296 is 4

2. How to calculate the greatest common divisor of 304, 132, 72, 296?

We can find the highest common divisor of 304, 132, 72, 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 304, 132, 72, 296 i.e 4.

3. How can I use the GCD of 304, 132, 72, 296Calculator?

Out the numbers 304, 132, 72, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.