GCD of 306, 150, 514, 360 Calculator

Given Input numbers are 306, 150, 514, 360

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 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (306, 150, 514, 360) = 2.

Given numbers are 306, 150, 514, 360

The list of prime factors of all numbers are

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

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 514 are 2 x 257

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 306, 150, 514, 360 is 2.

Given numbers are 306, 150, 514, 360

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

Apply this formula for all numbers.

Step1:

LCM(306, 150) = 7650

GCD(306, 150) = ( 306 x 150 ) / 7650

= 306 / 150

= 306

Step2:

LCM(6, 514) = 1542

GCD(6, 514) = ( 6 x 514 ) / 1542

= 6 / 514

= 6

Step3:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

So, Greatest Common Divisor of 306, 150, 514, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 664, 442, 973, 256
• GCD of 931, 447, 474, 237
• GCD of 668, 135, 330, 158
• GCD of 716, 284, 418, 663
• GCD of 285, 165, 705, 853

Given numbers are 306, 150, 514, 360
The greatest common divisor of numbers 306, 150, 514, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 150, 514, 360 is 2.

1. What is the GCD of 306, 150, 514, 360?

GCD of given numbers 306, 150, 514, 360 is 2

2. How to calculate the greatest common divisor of 306, 150, 514, 360?

We can find the highest common divisor of 306, 150, 514, 360 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, 150, 514, 360 i.e 2.

3. How can I use the GCD of 306, 150, 514, 360Calculator?

Out the numbers 306, 150, 514, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.