GCD of 201, 784, 939, 998 Calculator

Given Input numbers are 201, 784, 939, 998

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 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 998

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

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 201, 784, 939, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 784, 939, 998 is 1.

Therefore, GCD of numbers 201, 784, 939, 998 is 1

Given Input Data is 201, 784, 939, 998

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

Prime Factorization of 201 is 3 x 67

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 939 is 3 x 313

Prime Factorization of 998 is 2 x 499

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, 784) = 157584

GCD(201, 784) = ( 201 x 784 ) / 157584

GCD(201, 784) = 157584 / 157584

GCD(201, 784) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 939

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

LCM(1, 939) = 939

GCD(1, 939) = ( 1 x 939 ) / 939

GCD(1, 939) = 939 / 939

GCD(1, 939) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 201, 784, 939, 998 is 1

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1. What is the GCD of 201, 784, 939, 998?

GCD of 201, 784, 939, 998 is 1

2. Where do I get the detailed procedure to find GCD of 201, 784, 939, 998?

You can find a detailed procedure to find GCD of 201, 784, 939, 998 on our page.

3. How to find GCD of 201, 784, 939, 998 on a calculator?

You can find the GCD of 201, 784, 939, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.