GCD of 744, 686, 83, 728 Calculator

Given Input numbers are 744, 686, 83, 728

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

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 83 :

The positive integer divisors of 83 that completely divides 83 are.

1, 83

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 (744, 686, 83, 728) = 1.

Given numbers are 744, 686, 83, 728

The list of prime factors of all numbers are

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 83 are 83

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 744, 686, 83, 728

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

Apply this formula for all numbers.

Step1:

LCM(744, 686) = 255192

GCD(744, 686) = ( 744 x 686 ) / 255192

= 744 / 686

= 744

Step2:

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

= 2 / 83

= 2

Step3:

LCM(1, 728) = 728

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

= 1 / 728

= 1

So, Greatest Common Divisor of 744, 686, 83, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 742, 29, 819
• GCD of 827, 828, 58, 546
• GCD of 919, 940, 70, 945
• GCD of 955, 898, 43, 822
• GCD of 234, 120, 77, 901

Given numbers are 744, 686, 83, 728
The greatest common divisor of numbers 744, 686, 83, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 686, 83, 728 is 1.

1. What is the GCD of 744, 686, 83, 728?

GCD of given numbers 744, 686, 83, 728 is 1

2. How to calculate the greatest common divisor of 744, 686, 83, 728?

We can find the highest common divisor of 744, 686, 83, 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 744, 686, 83, 728 i.e 1.

3. How can I use the GCD of 744, 686, 83, 728Calculator?

Out the numbers 744, 686, 83, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.