GCD of 37, 998, 628, 263 Calculator

Given Input numbers are 37, 998, 628, 263

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 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Greatest Common Divisior

We found the divisors of 37, 998, 628, 263 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 998, 628, 263 is 1.

Therefore, GCD of numbers 37, 998, 628, 263 is 1

Given Input Data is 37, 998, 628, 263

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

Prime Factorization of 37 is 37

Prime Factorization of 998 is 2 x 499

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 263 is 263

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, 998) = 36926

GCD(37, 998) = ( 37 x 998 ) / 36926

GCD(37, 998) = 36926 / 36926

GCD(37, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 263

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

LCM(1, 263) = 263

GCD(1, 263) = ( 1 x 263 ) / 263

GCD(1, 263) = 263 / 263

GCD(1, 263) = 1

GCD of 37, 998, 628, 263 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 867, 101, 360
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• GCD of 45, 385, 245, 279
• GCD of 74, 685, 323, 935

1. What is the GCD of 37, 998, 628, 263?

GCD of 37, 998, 628, 263 is 1

2. Where do I get the detailed procedure to find GCD of 37, 998, 628, 263?

You can find a detailed procedure to find GCD of 37, 998, 628, 263 on our page.

3. How to find GCD of 37, 998, 628, 263 on a calculator?

You can find the GCD of 37, 998, 628, 263 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.