GCD of 514, 477, 37, 295 Calculator

Given Input numbers are 514, 477, 37, 295

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

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 514, 477, 37, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 477, 37, 295 is 1.

Therefore, GCD of numbers 514, 477, 37, 295 is 1

Given Input Data is 514, 477, 37, 295

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

Prime Factorization of 514 is 2 x 257

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 37 is 37

Prime Factorization of 295 is 5 x 59

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(514, 477) = 245178

GCD(514, 477) = ( 514 x 477 ) / 245178

GCD(514, 477) = 245178 / 245178

GCD(514, 477) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

GCD of 514, 477, 37, 295 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 624, 25, 109
• GCD of 303, 433, 57, 529
• GCD of 846, 348, 24, 164
• GCD of 259, 652, 54, 116
• GCD of 156, 918, 66, 699

1. What is the GCD of 514, 477, 37, 295?

GCD of 514, 477, 37, 295 is 1

2. Where do I get the detailed procedure to find GCD of 514, 477, 37, 295?

You can find a detailed procedure to find GCD of 514, 477, 37, 295 on our page.

3. How to find GCD of 514, 477, 37, 295 on a calculator?

You can find the GCD of 514, 477, 37, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.