GCD of 709, 721, 782, 728 Calculator

Given Input numbers are 709, 721, 782, 728

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

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 782 :

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

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

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 (709, 721, 782, 728) = 1.

Given numbers are 709, 721, 782, 728

The list of prime factors of all numbers are

Prime factors of 709 are 709

Prime factors of 721 are 7 x 103

Prime factors of 782 are 2 x 17 x 23

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 709, 721, 782, 728

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

Apply this formula for all numbers.

Step1:

LCM(709, 721) = 511189

GCD(709, 721) = ( 709 x 721 ) / 511189

= 709 / 721

= 709

Step2:

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

= 1 / 782

= 1

Step3:

LCM(1, 728) = 728

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

= 1 / 728

= 1

So, Greatest Common Divisor of 709, 721, 782, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 782, 628, 881
• GCD of 192, 608, 818, 185
• GCD of 185, 422, 222, 224
• GCD of 378, 212, 332, 311
• GCD of 348, 409, 540, 945

Given numbers are 709, 721, 782, 728
The greatest common divisor of numbers 709, 721, 782, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 709, 721, 782, 728 is 1.

1. What is the GCD of 709, 721, 782, 728?

GCD of given numbers 709, 721, 782, 728 is 1

2. How to calculate the greatest common divisor of 709, 721, 782, 728?

We can find the highest common divisor of 709, 721, 782, 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 709, 721, 782, 728 i.e 1.

3. How can I use the GCD of 709, 721, 782, 728Calculator?

Out the numbers 709, 721, 782, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.