GCD of 728, 524, 172 Calculator

Given Input numbers are 728, 524, 172

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 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (728, 524, 172) = 4.

Given numbers are 728, 524, 172

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 524 are 2 x 2 x 131

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2²

Therefore, GCD of 728, 524, 172 is 4.

Given numbers are 728, 524, 172

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

Apply this formula for all numbers.

Step1:

LCM(728, 524) = 95368

GCD(728, 524) = ( 728 x 524 ) / 95368

= 728 / 524

= 728

Step2:

LCM(4, 172) = 172

GCD(4, 172) = ( 4 x 172 ) / 172

= 4 / 172

= 4

So, Greatest Common Divisor of 728, 524, 172 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 558, 650, 450
• GCD of 125, 509, 392
• GCD of 340, 749, 319
• GCD of 996, 771, 774
• GCD of 162, 659, 817

Given numbers are 728, 524, 172
The greatest common divisor of numbers 728, 524, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 524, 172 is 4.

1. What is the GCD of 728, 524, 172?

GCD of given numbers 728, 524, 172 is 4

2. How to calculate the greatest common divisor of 728, 524, 172?

We can find the highest common divisor of 728, 524, 172 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, 524, 172 i.e 4.

3. How can I use the GCD of 728, 524, 172Calculator?

Out the numbers 728, 524, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.