GCD of 728, 120, 194, 188 Calculator

Given Input numbers are 728, 120, 194, 188

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

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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 194 :

The positive integer divisors of 194 that completely divides 194 are.

1, 2, 97, 194

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

GCD of numbers is the greatest common divisor

So, the GCD (728, 120, 194, 188) = 2.

Given numbers are 728, 120, 194, 188

The list of prime factors of all numbers are

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Prime factors of 194 are 2 x 97

Prime factors of 188 are 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 728, 120, 194, 188 is 2.

Given numbers are 728, 120, 194, 188

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

Apply this formula for all numbers.

Step1:

LCM(728, 120) = 10920

GCD(728, 120) = ( 728 x 120 ) / 10920

= 728 / 120

= 728

Step2:

LCM(8, 194) = 776

GCD(8, 194) = ( 8 x 194 ) / 776

= 8 / 194

= 8

Step3:

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

= 2 / 188

= 2

So, Greatest Common Divisor of 728, 120, 194, 188 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 620, 419, 896, 371
• GCD of 573, 466, 863, 152
• GCD of 425, 747, 157, 240
• GCD of 288, 417, 588, 516
• GCD of 433, 152, 615, 194

Given numbers are 728, 120, 194, 188
The greatest common divisor of numbers 728, 120, 194, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 120, 194, 188 is 2.

1. What is the GCD of 728, 120, 194, 188?

GCD of given numbers 728, 120, 194, 188 is 2

2. How to calculate the greatest common divisor of 728, 120, 194, 188?

We can find the highest common divisor of 728, 120, 194, 188 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 728, 120, 194, 188 i.e 2.

3. How can I use the GCD of 728, 120, 194, 188Calculator?

Out the numbers 728, 120, 194, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.