GCD of 744, 346, 656, 729 Calculator

Given Input numbers are 744, 346, 656, 729

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 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

GCD of numbers is the greatest common divisor

So, the GCD (744, 346, 656, 729) = 1.

Given numbers are 744, 346, 656, 729

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 346 are 2 x 173

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 744, 346, 656, 729

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

Apply this formula for all numbers.

Step1:

LCM(744, 346) = 128712

GCD(744, 346) = ( 744 x 346 ) / 128712

= 744 / 346

= 744

Step2:

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

= 2 / 656

= 2

Step3:

LCM(2, 729) = 1458

GCD(2, 729) = ( 2 x 729 ) / 1458

= 2 / 729

= 2

So, Greatest Common Divisor of 744, 346, 656, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 949, 272, 308
• GCD of 879, 858, 739, 744
• GCD of 798, 509, 653, 856
• GCD of 940, 536, 196, 755
• GCD of 552, 674, 843, 959

Given numbers are 744, 346, 656, 729
The greatest common divisor of numbers 744, 346, 656, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 346, 656, 729 is 1.

1. What is the GCD of 744, 346, 656, 729?

GCD of given numbers 744, 346, 656, 729 is 1

2. How to calculate the greatest common divisor of 744, 346, 656, 729?

We can find the highest common divisor of 744, 346, 656, 729 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, 346, 656, 729 i.e 1.

3. How can I use the GCD of 744, 346, 656, 729Calculator?

Out the numbers 744, 346, 656, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.