GCD of 728, 249, 68, 349 Calculator

Given Input numbers are 728, 249, 68, 349

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 249 :

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

1, 3, 83, 249

Divisors of 68 :

The positive integer divisors of 68 that completely divides 68 are.

1, 2, 4, 17, 34, 68

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (728, 249, 68, 349) = 1.

Given numbers are 728, 249, 68, 349

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 249 are 3 x 83

Prime factors of 68 are 2 x 2 x 17

Prime factors of 349 are 349

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

Given numbers are 728, 249, 68, 349

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

Apply this formula for all numbers.

Step1:

LCM(728, 249) = 181272

GCD(728, 249) = ( 728 x 249 ) / 181272

= 728 / 249

= 728

Step2:

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

= 1 / 68

= 1

Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1

So, Greatest Common Divisor of 728, 249, 68, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 142, 63, 319
• GCD of 735, 152, 39, 456
• GCD of 565, 702, 37, 301
• GCD of 614, 560, 58, 848
• GCD of 253, 741, 99, 972

Given numbers are 728, 249, 68, 349
The greatest common divisor of numbers 728, 249, 68, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 249, 68, 349 is 1.

1. What is the GCD of 728, 249, 68, 349?

GCD of given numbers 728, 249, 68, 349 is 1

2. How to calculate the greatest common divisor of 728, 249, 68, 349?

We can find the highest common divisor of 728, 249, 68, 349 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, 249, 68, 349 i.e 1.

3. How can I use the GCD of 728, 249, 68, 349Calculator?

Out the numbers 728, 249, 68, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.