GCD of 306, 612, 170, 136 Calculator

Given Input numbers are 306, 612, 170, 136

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

GCD of numbers is the greatest common divisor

So, the GCD (306, 612, 170, 136) = 34.

Given numbers are 306, 612, 170, 136

The list of prime factors of all numbers are

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

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 170 are 2 x 5 x 17

Prime factors of 136 are 2 x 2 x 2 x 17

The highest common occurrence is 17¹ x 2¹

Therefore, GCD of 306, 612, 170, 136 is 34.

Given numbers are 306, 612, 170, 136

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

Apply this formula for all numbers.

Step1:

LCM(306, 612) = 612

GCD(306, 612) = ( 306 x 612 ) / 612

= 306 / 612

= 306

Step2:

LCM(306, 170) = 1530

GCD(306, 170) = ( 306 x 170 ) / 1530

= 306 / 170

= 306

Step3:

LCM(34, 136) = 136

GCD(34, 136) = ( 34 x 136 ) / 136

= 34 / 136

= 34

So, Greatest Common Divisor of 306, 612, 170, 136 is 34

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 623, 792, 851
• GCD of 220, 588, 321, 338
• GCD of 645, 125, 416, 682
• GCD of 600, 271, 436, 797
• GCD of 115, 237, 830, 144

Given numbers are 306, 612, 170, 136
The greatest common divisor of numbers 306, 612, 170, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 612, 170, 136 is 34.

1. What is the GCD of 306, 612, 170, 136?

GCD of given numbers 306, 612, 170, 136 is 34

2. How to calculate the greatest common divisor of 306, 612, 170, 136?

We can find the highest common divisor of 306, 612, 170, 136 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, 612, 170, 136 i.e 34.

3. How can I use the GCD of 306, 612, 170, 136Calculator?

Out the numbers 306, 612, 170, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.