GCD of 37, 498, 338, 295 Calculator

Given Input numbers are 37, 498, 338, 295

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

Divisors of 37

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

1, 37

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 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

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 37, 498, 338, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 498, 338, 295 is 1.

Therefore, GCD of numbers 37, 498, 338, 295 is 1

Given Input Data is 37, 498, 338, 295

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

Prime Factorization of 37 is 37

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 338 is 2 x 13 x 13

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(37, 498) = 18426

GCD(37, 498) = ( 37 x 498 ) / 18426

GCD(37, 498) = 18426 / 18426

GCD(37, 498) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 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 37, 498, 338, 295 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 101, 456, 940
• GCD of 65, 941, 166, 566
• GCD of 17, 148, 147, 124
• GCD of 27, 220, 641, 204
• GCD of 64, 793, 673, 792

1. What is the GCD of 37, 498, 338, 295?

GCD of 37, 498, 338, 295 is 1

2. Where do I get the detailed procedure to find GCD of 37, 498, 338, 295?

You can find a detailed procedure to find GCD of 37, 498, 338, 295 on our page.

3. How to find GCD of 37, 498, 338, 295 on a calculator?

You can find the GCD of 37, 498, 338, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.