GCD of 264, 214, 750 Calculator

Given Input numbers are 264, 214, 750

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 264, 214, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 214, 750 is 2.

Therefore, GCD of numbers 264, 214, 750 is 2

Given Input Data is 264, 214, 750

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 214 is 2 x 107

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(264, 214) = 28248

GCD(264, 214) = ( 264 x 214 ) / 28248

GCD(264, 214) = 56496 / 28248

GCD(264, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 750

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

LCM(2, 750) = 750

GCD(2, 750) = ( 2 x 750 ) / 750

GCD(2, 750) = 1500 / 750

GCD(2, 750) = 2

GCD of 264, 214, 750 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 388, 738, 306
• GCD of 898, 834, 941
• GCD of 308, 716, 545
• GCD of 313, 927, 379
• GCD of 965, 198, 576

1. What is the GCD of 264, 214, 750?

GCD of 264, 214, 750 is 2

2. Where do I get the detailed procedure to find GCD of 264, 214, 750?

You can find a detailed procedure to find GCD of 264, 214, 750 on our page.

3. How to find GCD of 264, 214, 750 on a calculator?

You can find the GCD of 264, 214, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.