GCD of 201, 498, 31, 994 Calculator

Given Input numbers are 201, 498, 31, 994

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

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

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 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 201, 498, 31, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 498, 31, 994 is 1.

Therefore, GCD of numbers 201, 498, 31, 994 is 1

Given Input Data is 201, 498, 31, 994

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

Prime Factorization of 201 is 3 x 67

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 31 is 31

Prime Factorization of 994 is 2 x 7 x 71

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(201, 498) = 33366

GCD(201, 498) = ( 201 x 498 ) / 33366

GCD(201, 498) = 100098 / 33366

GCD(201, 498) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 31

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

LCM(3, 31) = 93

GCD(3, 31) = ( 3 x 31 ) / 93

GCD(3, 31) = 93 / 93

GCD(3, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 201, 498, 31, 994 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 896, 87, 999
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• GCD of 789, 236, 33, 516

1. What is the GCD of 201, 498, 31, 994?

GCD of 201, 498, 31, 994 is 1

2. Where do I get the detailed procedure to find GCD of 201, 498, 31, 994?

You can find a detailed procedure to find GCD of 201, 498, 31, 994 on our page.

3. How to find GCD of 201, 498, 31, 994 on a calculator?

You can find the GCD of 201, 498, 31, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.