GCD of 726, 788, 689, 656 Calculator

Given Input numbers are 726, 788, 689, 656

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

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 656 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (726, 788, 689, 656) = 1.

Given numbers are 726, 788, 689, 656

The list of prime factors of all numbers are

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 788 are 2 x 2 x 197

Prime factors of 689 are 13 x 53

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

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

Given numbers are 726, 788, 689, 656

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

Apply this formula for all numbers.

Step1:

LCM(726, 788) = 286044

GCD(726, 788) = ( 726 x 788 ) / 286044

= 726 / 788

= 726

Step2:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

Step3:

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

= 1 / 656

= 1

So, Greatest Common Divisor of 726, 788, 689, 656 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 986, 292, 915
• GCD of 591, 162, 791, 702
• GCD of 672, 311, 275, 118
• GCD of 552, 758, 533, 576
• GCD of 179, 609, 504, 799

Given numbers are 726, 788, 689, 656
The greatest common divisor of numbers 726, 788, 689, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 788, 689, 656 is 1.

1. What is the GCD of 726, 788, 689, 656?

GCD of given numbers 726, 788, 689, 656 is 1

2. How to calculate the greatest common divisor of 726, 788, 689, 656?

We can find the highest common divisor of 726, 788, 689, 656 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 726, 788, 689, 656 i.e 1.

3. How can I use the GCD of 726, 788, 689, 656Calculator?

Out the numbers 726, 788, 689, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.