GCD of 705, 711, 708, 306 Calculator

Given Input numbers are 705, 711, 708, 306

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 (705, 711, 708, 306) = 3.

Given numbers are 705, 711, 708, 306

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 711 are 3 x 3 x 79

Prime factors of 708 are 2 x 2 x 3 x 59

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

The highest common occurrence is 3¹

Therefore, GCD of 705, 711, 708, 306 is 3.

Given numbers are 705, 711, 708, 306

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

Apply this formula for all numbers.

Step1:

LCM(705, 711) = 167085

GCD(705, 711) = ( 705 x 711 ) / 167085

= 705 / 711

= 705

Step2:

LCM(3, 708) = 708

GCD(3, 708) = ( 3 x 708 ) / 708

= 3 / 708

= 3

Step3:

LCM(3, 306) = 306

GCD(3, 306) = ( 3 x 306 ) / 306

= 3 / 306

= 3

So, Greatest Common Divisor of 705, 711, 708, 306 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 248, 387, 295, 766
• GCD of 758, 236, 503, 343
• GCD of 389, 480, 970, 121
• GCD of 897, 920, 466, 725
• GCD of 350, 102, 168, 252

Given numbers are 705, 711, 708, 306
The greatest common divisor of numbers 705, 711, 708, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 711, 708, 306 is 3.

1. What is the GCD of 705, 711, 708, 306?

GCD of given numbers 705, 711, 708, 306 is 3

2. How to calculate the greatest common divisor of 705, 711, 708, 306?

We can find the highest common divisor of 705, 711, 708, 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 705, 711, 708, 306 i.e 3.

3. How can I use the GCD of 705, 711, 708, 306Calculator?

Out the numbers 705, 711, 708, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.