GCD of 728, 316, 879, 705 Calculator

Given Input numbers are 728, 316, 879, 705

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 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 879 :

The positive integer divisors of 879 that completely divides 879 are.

1, 3, 293, 879

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (728, 316, 879, 705) = 1.

Given numbers are 728, 316, 879, 705

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 316 are 2 x 2 x 79

Prime factors of 879 are 3 x 293

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 728, 316, 879, 705

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

Apply this formula for all numbers.

Step1:

LCM(728, 316) = 57512

GCD(728, 316) = ( 728 x 316 ) / 57512

= 728 / 316

= 728

Step2:

LCM(4, 879) = 3516

GCD(4, 879) = ( 4 x 879 ) / 3516

= 4 / 879

= 4

Step3:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

So, Greatest Common Divisor of 728, 316, 879, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 881, 344, 707, 865
• GCD of 234, 605, 807, 684
• GCD of 513, 208, 601, 135
• GCD of 171, 256, 321, 131
• GCD of 315, 405, 372, 736

Given numbers are 728, 316, 879, 705
The greatest common divisor of numbers 728, 316, 879, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 316, 879, 705 is 1.

1. What is the GCD of 728, 316, 879, 705?

GCD of given numbers 728, 316, 879, 705 is 1

2. How to calculate the greatest common divisor of 728, 316, 879, 705?

We can find the highest common divisor of 728, 316, 879, 705 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, 316, 879, 705 i.e 1.

3. How can I use the GCD of 728, 316, 879, 705Calculator?

Out the numbers 728, 316, 879, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.