GCD of 304, 172, 744 Calculator

Given Input numbers are 304, 172, 744

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 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

GCD of numbers is the greatest common divisor

So, the GCD (304, 172, 744) = 4.

Given numbers are 304, 172, 744

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 172 are 2 x 2 x 43

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

The highest common occurrence is 2²

Therefore, GCD of 304, 172, 744 is 4.

Given numbers are 304, 172, 744

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

Apply this formula for all numbers.

Step1:

LCM(304, 172) = 13072

GCD(304, 172) = ( 304 x 172 ) / 13072

= 304 / 172

= 304

Step2:

LCM(4, 744) = 744

GCD(4, 744) = ( 4 x 744 ) / 744

= 4 / 744

= 4

So, Greatest Common Divisor of 304, 172, 744 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 405, 774, 120
• GCD of 447, 326, 479
• GCD of 713, 607, 322
• GCD of 821, 984, 978
• GCD of 710, 150, 860

Given numbers are 304, 172, 744
The greatest common divisor of numbers 304, 172, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 172, 744 is 4.

1. What is the GCD of 304, 172, 744?

GCD of given numbers 304, 172, 744 is 4

2. How to calculate the greatest common divisor of 304, 172, 744?

We can find the highest common divisor of 304, 172, 744 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, 172, 744 i.e 4.

3. How can I use the GCD of 304, 172, 744Calculator?

Out the numbers 304, 172, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.