GCD of 306, 732, 807 Calculator

Given Input numbers are 306, 732, 807

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

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

GCD of numbers is the greatest common divisor

So, the GCD (306, 732, 807) = 3.

Given numbers are 306, 732, 807

The list of prime factors of all numbers are

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

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 807 are 3 x 269

The highest common occurrence is 3¹

Therefore, GCD of 306, 732, 807 is 3.

Given numbers are 306, 732, 807

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

Apply this formula for all numbers.

Step1:

LCM(306, 732) = 37332

GCD(306, 732) = ( 306 x 732 ) / 37332

= 306 / 732

= 306

Step2:

LCM(6, 807) = 1614

GCD(6, 807) = ( 6 x 807 ) / 1614

= 6 / 807

= 6

So, Greatest Common Divisor of 306, 732, 807 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 906, 868, 302
• GCD of 860, 949, 749
• GCD of 905, 372, 247
• GCD of 468, 430, 992
• GCD of 623, 877, 847

Given numbers are 306, 732, 807
The greatest common divisor of numbers 306, 732, 807 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 732, 807 is 3.

1. What is the GCD of 306, 732, 807?

GCD of given numbers 306, 732, 807 is 3

2. How to calculate the greatest common divisor of 306, 732, 807?

We can find the highest common divisor of 306, 732, 807 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 306, 732, 807 i.e 3.

3. How can I use the GCD of 306, 732, 807Calculator?

Out the numbers 306, 732, 807 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.