GCD of 998, 904, 50, 757 Calculator

Given Input numbers are 998, 904, 50, 757

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

Divisors of 998

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

1, 2, 499, 998

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 998, 904, 50, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 904, 50, 757 is 1.

Therefore, GCD of numbers 998, 904, 50, 757 is 1

Given Input Data is 998, 904, 50, 757

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 757 is 757

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(998, 904) = 451096

GCD(998, 904) = ( 998 x 904 ) / 451096

GCD(998, 904) = 902192 / 451096

GCD(998, 904) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 757

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

LCM(2, 757) = 1514

GCD(2, 757) = ( 2 x 757 ) / 1514

GCD(2, 757) = 1514 / 1514

GCD(2, 757) = 1

GCD of 998, 904, 50, 757 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 106, 91, 116
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• GCD of 195, 199, 92, 110
• GCD of 100, 226, 17, 147
• GCD of 392, 564, 47, 736

1. What is the GCD of 998, 904, 50, 757?

GCD of 998, 904, 50, 757 is 1

2. Where do I get the detailed procedure to find GCD of 998, 904, 50, 757?

You can find a detailed procedure to find GCD of 998, 904, 50, 757 on our page.

3. How to find GCD of 998, 904, 50, 757 on a calculator?

You can find the GCD of 998, 904, 50, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.