GCD of 184, 120, 304, 704 Calculator

Given Input numbers are 184, 120, 304, 704

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

Divisors of 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (184, 120, 304, 704) = 8.

Given numbers are 184, 120, 304, 704

The list of prime factors of all numbers are

Prime factors of 184 are 2 x 2 x 2 x 23

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2³

Therefore, GCD of 184, 120, 304, 704 is 8.

Given numbers are 184, 120, 304, 704

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

Apply this formula for all numbers.

Step1:

LCM(184, 120) = 2760

GCD(184, 120) = ( 184 x 120 ) / 2760

= 184 / 120

= 184

Step2:

LCM(8, 304) = 304

GCD(8, 304) = ( 8 x 304 ) / 304

= 8 / 304

= 8

Step3:

LCM(8, 704) = 704

GCD(8, 704) = ( 8 x 704 ) / 704

= 8 / 704

= 8

So, Greatest Common Divisor of 184, 120, 304, 704 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 448, 611, 429
• GCD of 424, 875, 544, 481
• GCD of 517, 601, 591, 421
• GCD of 184, 254, 776, 666
• GCD of 886, 847, 781, 328

Given numbers are 184, 120, 304, 704
The greatest common divisor of numbers 184, 120, 304, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 184, 120, 304, 704 is 8.

1. What is the GCD of 184, 120, 304, 704?

GCD of given numbers 184, 120, 304, 704 is 8

2. How to calculate the greatest common divisor of 184, 120, 304, 704?

We can find the highest common divisor of 184, 120, 304, 704 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 184, 120, 304, 704 i.e 8.

3. How can I use the GCD of 184, 120, 304, 704Calculator?

Out the numbers 184, 120, 304, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.