GCD of 998, 552, 37, 733 Calculator

Given Input numbers are 998, 552, 37, 733

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 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 37

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

1, 37

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Greatest Common Divisior

We found the divisors of 998, 552, 37, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 552, 37, 733 is 1.

Therefore, GCD of numbers 998, 552, 37, 733 is 1

Given Input Data is 998, 552, 37, 733

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 37 is 37

Prime Factorization of 733 is 733

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, 552) = 275448

GCD(998, 552) = ( 998 x 552 ) / 275448

GCD(998, 552) = 550896 / 275448

GCD(998, 552) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 37

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

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

GCD(2, 37) = 74 / 74

GCD(2, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 733

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

LCM(1, 733) = 733

GCD(1, 733) = ( 1 x 733 ) / 733

GCD(1, 733) = 733 / 733

GCD(1, 733) = 1

GCD of 998, 552, 37, 733 is 1

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• GCD of 178, 587, 22, 187
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• GCD of 780, 944, 28, 764

1. What is the GCD of 998, 552, 37, 733?

GCD of 998, 552, 37, 733 is 1

2. Where do I get the detailed procedure to find GCD of 998, 552, 37, 733?

You can find a detailed procedure to find GCD of 998, 552, 37, 733 on our page.

3. How to find GCD of 998, 552, 37, 733 on a calculator?

You can find the GCD of 998, 552, 37, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.