GCD of 998, 360, 21, 752 Calculator

Given Input numbers are 998, 360, 21, 752

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 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 998, 360, 21, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 360, 21, 752 is 1.

Therefore, GCD of numbers 998, 360, 21, 752 is 1

Given Input Data is 998, 360, 21, 752

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 21 is 3 x 7

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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, 360) = 179640

GCD(998, 360) = ( 998 x 360 ) / 179640

GCD(998, 360) = 359280 / 179640

GCD(998, 360) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

GCD of 998, 360, 21, 752 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 249, 752, 58, 977
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• GCD of 117, 931, 45, 882
• GCD of 932, 373, 19, 148

1. What is the GCD of 998, 360, 21, 752?

GCD of 998, 360, 21, 752 is 1

2. Where do I get the detailed procedure to find GCD of 998, 360, 21, 752?

You can find a detailed procedure to find GCD of 998, 360, 21, 752 on our page.

3. How to find GCD of 998, 360, 21, 752 on a calculator?

You can find the GCD of 998, 360, 21, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.