GCD of 728, 782, 706, 423 Calculator

Given Input numbers are 728, 782, 706, 423

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 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

GCD of numbers is the greatest common divisor

So, the GCD (728, 782, 706, 423) = 1.

Given numbers are 728, 782, 706, 423

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 782 are 2 x 17 x 23

Prime factors of 706 are 2 x 353

Prime factors of 423 are 3 x 3 x 47

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

Given numbers are 728, 782, 706, 423

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

Apply this formula for all numbers.

Step1:

LCM(728, 782) = 284648

GCD(728, 782) = ( 728 x 782 ) / 284648

= 728 / 782

= 728

Step2:

LCM(2, 706) = 706

GCD(2, 706) = ( 2 x 706 ) / 706

= 2 / 706

= 2

Step3:

LCM(2, 423) = 846

GCD(2, 423) = ( 2 x 423 ) / 846

= 2 / 423

= 2

So, Greatest Common Divisor of 728, 782, 706, 423 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 880, 650, 179, 938
• GCD of 880, 628, 841, 270
• GCD of 183, 923, 755, 655
• GCD of 297, 281, 184, 645
• GCD of 129, 711, 599, 212

Given numbers are 728, 782, 706, 423
The greatest common divisor of numbers 728, 782, 706, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 782, 706, 423 is 1.

1. What is the GCD of 728, 782, 706, 423?

GCD of given numbers 728, 782, 706, 423 is 1

2. How to calculate the greatest common divisor of 728, 782, 706, 423?

We can find the highest common divisor of 728, 782, 706, 423 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, 782, 706, 423 i.e 1.

3. How can I use the GCD of 728, 782, 706, 423Calculator?

Out the numbers 728, 782, 706, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.