GCD of 726, 738, 444, 109 Calculator

Given Input numbers are 726, 738, 444, 109

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 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (726, 738, 444, 109) = 1.

Given numbers are 726, 738, 444, 109

The list of prime factors of all numbers are

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

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 109 are 109

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

Given numbers are 726, 738, 444, 109

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

Apply this formula for all numbers.

Step1:

LCM(726, 738) = 89298

GCD(726, 738) = ( 726 x 738 ) / 89298

= 726 / 738

= 726

Step2:

LCM(6, 444) = 444

GCD(6, 444) = ( 6 x 444 ) / 444

= 6 / 444

= 6

Step3:

LCM(6, 109) = 654

GCD(6, 109) = ( 6 x 109 ) / 654

= 6 / 109

= 6

So, Greatest Common Divisor of 726, 738, 444, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 328, 653, 438
• GCD of 184, 313, 558, 184
• GCD of 690, 568, 260, 522
• GCD of 930, 632, 333, 632
• GCD of 351, 504, 365, 161

Given numbers are 726, 738, 444, 109
The greatest common divisor of numbers 726, 738, 444, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 738, 444, 109 is 1.

1. What is the GCD of 726, 738, 444, 109?

GCD of given numbers 726, 738, 444, 109 is 1

2. How to calculate the greatest common divisor of 726, 738, 444, 109?

We can find the highest common divisor of 726, 738, 444, 109 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, 738, 444, 109 i.e 1.

3. How can I use the GCD of 726, 738, 444, 109Calculator?

Out the numbers 726, 738, 444, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.