GCD of 728, 214, 152 Calculator

Given Input numbers are 728, 214, 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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

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, 214, 152) = 2.

Given numbers are 728, 214, 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 214 are 2 x 107

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

The highest common occurrence is 2¹

Therefore, GCD of 728, 214, 152 is 2.

Given numbers are 728, 214, 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, 214) = 77896

GCD(728, 214) = ( 728 x 214 ) / 77896

= 728 / 214

= 728

Step2:

LCM(2, 152) = 152

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

= 2 / 152

= 2

So, Greatest Common Divisor of 728, 214, 152 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 239, 941
• GCD of 975, 927, 260
• GCD of 570, 894, 593
• GCD of 468, 267, 449
• GCD of 443, 812, 410

Given numbers are 728, 214, 152
The greatest common divisor of numbers 728, 214, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 214, 152 is 2.

1. What is the GCD of 728, 214, 152?

GCD of given numbers 728, 214, 152 is 2

2. How to calculate the greatest common divisor of 728, 214, 152?

We can find the highest common divisor of 728, 214, 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, 214, 152 i.e 2.

3. How can I use the GCD of 728, 214, 152Calculator?

Out the numbers 728, 214, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.