GCD of 728, 174, 992, 152 Calculator

Given Input numbers are 728, 174, 992, 152

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 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (728, 174, 992, 152) = 2.

Given numbers are 728, 174, 992, 152

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 174 are 2 x 3 x 29

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 152 are 2 x 2 x 2 x 19

The highest common occurrence is 2¹

Therefore, GCD of 728, 174, 992, 152 is 2.

Given numbers are 728, 174, 992, 152

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

Apply this formula for all numbers.

Step1:

LCM(728, 174) = 63336

GCD(728, 174) = ( 728 x 174 ) / 63336

= 728 / 174

= 728

Step2:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2

Step3:

LCM(2, 152) = 152

GCD(2, 152) = ( 2 x 152 ) / 152

= 2 / 152

= 2

So, Greatest Common Divisor of 728, 174, 992, 152 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 380, 634, 457, 209
• GCD of 467, 391, 635, 967
• GCD of 650, 581, 203, 219
• GCD of 813, 316, 314, 940
• GCD of 599, 911, 183, 839

Given numbers are 728, 174, 992, 152
The greatest common divisor of numbers 728, 174, 992, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 174, 992, 152 is 2.

1. What is the GCD of 728, 174, 992, 152?

GCD of given numbers 728, 174, 992, 152 is 2

2. How to calculate the greatest common divisor of 728, 174, 992, 152?

We can find the highest common divisor of 728, 174, 992, 152 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, 174, 992, 152 i.e 2.

3. How can I use the GCD of 728, 174, 992, 152Calculator?

Out the numbers 728, 174, 992, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.