GCD of 812, 431, 705, 728 Calculator

Given Input numbers are 812, 431, 705, 728

In the factoring method, we have to find the divisors of all numbers

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 705 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (812, 431, 705, 728) = 1.

Given numbers are 812, 431, 705, 728

The list of prime factors of all numbers are

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 431 are 431

Prime factors of 705 are 3 x 5 x 47

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Given numbers are 812, 431, 705, 728

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

Apply this formula for all numbers.

Step1:

LCM(812, 431) = 349972

GCD(812, 431) = ( 812 x 431 ) / 349972

= 812 / 431

= 812

Step2:

LCM(1, 705) = 705

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

= 1 / 705

= 1

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 812, 431, 705, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 482, 316, 659
• GCD of 953, 898, 133, 618
• GCD of 592, 877, 885, 164
• GCD of 533, 703, 559, 532
• GCD of 245, 630, 369, 367

Given numbers are 812, 431, 705, 728
The greatest common divisor of numbers 812, 431, 705, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 431, 705, 728 is 1.

1. What is the GCD of 812, 431, 705, 728?

GCD of given numbers 812, 431, 705, 728 is 1

2. How to calculate the greatest common divisor of 812, 431, 705, 728?

We can find the highest common divisor of 812, 431, 705, 728 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 812, 431, 705, 728 i.e 1.

3. How can I use the GCD of 812, 431, 705, 728Calculator?

Out the numbers 812, 431, 705, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.