GCD of 310, 470, 76, 275 Calculator

Given Input numbers are 310, 470, 76, 275

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 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 310, 470, 76, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 470, 76, 275 is 1.

Therefore, GCD of numbers 310, 470, 76, 275 is 1

Given Input Data is 310, 470, 76, 275

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 470 is 2 x 5 x 47

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 275 is 5 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

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, 470) = 14570

GCD(310, 470) = ( 310 x 470 ) / 14570

GCD(310, 470) = 145700 / 14570

GCD(310, 470) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 76

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

LCM(10, 76) = 380

GCD(10, 76) = ( 10 x 76 ) / 380

GCD(10, 76) = 760 / 380

GCD(10, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 275

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

LCM(2, 275) = 550

GCD(2, 275) = ( 2 x 275 ) / 550

GCD(2, 275) = 550 / 550

GCD(2, 275) = 1

GCD of 310, 470, 76, 275 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 715, 86, 892
• GCD of 381, 823, 32, 963
• GCD of 746, 934, 41, 943
• GCD of 397, 216, 73, 140
• GCD of 441, 624, 23, 553

1. What is the GCD of 310, 470, 76, 275?

GCD of 310, 470, 76, 275 is 1

2. Where do I get the detailed procedure to find GCD of 310, 470, 76, 275?

You can find a detailed procedure to find GCD of 310, 470, 76, 275 on our page.

3. How to find GCD of 310, 470, 76, 275 on a calculator?

You can find the GCD of 310, 470, 76, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.