GCD of 728, 656, 170, 249 Calculator

Given Input numbers are 728, 656, 170, 249

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 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

GCD of numbers is the greatest common divisor

So, the GCD (728, 656, 170, 249) = 1.

Given numbers are 728, 656, 170, 249

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 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 170 are 2 x 5 x 17

Prime factors of 249 are 3 x 83

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 728, 656, 170, 249

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

Apply this formula for all numbers.

Step1:

LCM(728, 656) = 59696

GCD(728, 656) = ( 728 x 656 ) / 59696

= 728 / 656

= 728

Step2:

LCM(8, 170) = 680

GCD(8, 170) = ( 8 x 170 ) / 680

= 8 / 170

= 8

Step3:

LCM(2, 249) = 498

GCD(2, 249) = ( 2 x 249 ) / 498

= 2 / 249

= 2

So, Greatest Common Divisor of 728, 656, 170, 249 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 784, 707, 736
• GCD of 146, 519, 600, 371
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• GCD of 770, 854, 860, 610
• GCD of 576, 305, 436, 371

Given numbers are 728, 656, 170, 249
The greatest common divisor of numbers 728, 656, 170, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 656, 170, 249 is 1.

1. What is the GCD of 728, 656, 170, 249?

GCD of given numbers 728, 656, 170, 249 is 1

2. How to calculate the greatest common divisor of 728, 656, 170, 249?

We can find the highest common divisor of 728, 656, 170, 249 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, 656, 170, 249 i.e 1.

3. How can I use the GCD of 728, 656, 170, 249Calculator?

Out the numbers 728, 656, 170, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.