GCD of 53, 498, 997, 370 Calculator

Given Input numbers are 53, 498, 997, 370

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

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 53, 498, 997, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 498, 997, 370 is 1.

Therefore, GCD of numbers 53, 498, 997, 370 is 1

Given Input Data is 53, 498, 997, 370

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

Prime Factorization of 53 is 53

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 997 is 997

Prime Factorization of 370 is 2 x 5 x 37

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(53, 498) = 26394

GCD(53, 498) = ( 53 x 498 ) / 26394

GCD(53, 498) = 26394 / 26394

GCD(53, 498) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

GCD of 53, 498, 997, 370 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 291, 483, 101
• GCD of 19, 908, 655, 335
• GCD of 57, 806, 254, 345
• GCD of 68, 255, 961, 809
• GCD of 54, 749, 705, 759

1. What is the GCD of 53, 498, 997, 370?

GCD of 53, 498, 997, 370 is 1

2. Where do I get the detailed procedure to find GCD of 53, 498, 997, 370?

You can find a detailed procedure to find GCD of 53, 498, 997, 370 on our page.

3. How to find GCD of 53, 498, 997, 370 on a calculator?

You can find the GCD of 53, 498, 997, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.