GCD of 310, 164, 66, 750 Calculator

Given Input numbers are 310, 164, 66, 750

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

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 310, 164, 66, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 164, 66, 750 is 2.

Therefore, GCD of numbers 310, 164, 66, 750 is 2

Given Input Data is 310, 164, 66, 750

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 66 is 2 x 3 x 11

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(310, 164) = 25420

GCD(310, 164) = ( 310 x 164 ) / 25420

GCD(310, 164) = 50840 / 25420

GCD(310, 164) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

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 310, 164, 66, 750 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 185, 444, 91, 596
• GCD of 479, 697, 65, 456
• GCD of 852, 763, 86, 580
• GCD of 537, 825, 44, 337
• GCD of 332, 683, 99, 900

1. What is the GCD of 310, 164, 66, 750?

GCD of 310, 164, 66, 750 is 2

2. Where do I get the detailed procedure to find GCD of 310, 164, 66, 750?

You can find a detailed procedure to find GCD of 310, 164, 66, 750 on our page.

3. How to find GCD of 310, 164, 66, 750 on a calculator?

You can find the GCD of 310, 164, 66, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.