GCD of 726, 624, 908, 306 Calculator

Given Input numbers are 726, 624, 908, 306

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 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

GCD of numbers is the greatest common divisor

So, the GCD (726, 624, 908, 306) = 2.

Given numbers are 726, 624, 908, 306

The list of prime factors of all numbers are

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

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 908 are 2 x 2 x 227

Prime factors of 306 are 2 x 3 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 726, 624, 908, 306 is 2.

Given numbers are 726, 624, 908, 306

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

Apply this formula for all numbers.

Step1:

LCM(726, 624) = 75504

GCD(726, 624) = ( 726 x 624 ) / 75504

= 726 / 624

= 726

Step2:

LCM(6, 908) = 2724

GCD(6, 908) = ( 6 x 908 ) / 2724

= 6 / 908

= 6

Step3:

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

= 2 / 306

= 2

So, Greatest Common Divisor of 726, 624, 908, 306 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 546, 890, 309
• GCD of 942, 372, 142, 699
• GCD of 332, 563, 422, 178
• GCD of 113, 988, 394, 232
• GCD of 143, 879, 744, 572

Given numbers are 726, 624, 908, 306
The greatest common divisor of numbers 726, 624, 908, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 624, 908, 306 is 2.

1. What is the GCD of 726, 624, 908, 306?

GCD of given numbers 726, 624, 908, 306 is 2

2. How to calculate the greatest common divisor of 726, 624, 908, 306?

We can find the highest common divisor of 726, 624, 908, 306 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, 624, 908, 306 i.e 2.

3. How can I use the GCD of 726, 624, 908, 306Calculator?

Out the numbers 726, 624, 908, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.