GCD of 724, 972, 382, 998 Calculator

Given Input numbers are 724, 972, 382, 998

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

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 724, 972, 382, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 972, 382, 998 is 2.

Therefore, GCD of numbers 724, 972, 382, 998 is 2

Given Input Data is 724, 972, 382, 998

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 382 is 2 x 191

Prime Factorization of 998 is 2 x 499

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(724, 972) = 175932

GCD(724, 972) = ( 724 x 972 ) / 175932

GCD(724, 972) = 703728 / 175932

GCD(724, 972) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 382

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

LCM(4, 382) = 764

GCD(4, 382) = ( 4 x 382 ) / 764

GCD(4, 382) = 1528 / 764

GCD(4, 382) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 998

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

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

GCD(2, 998) = 1996 / 998

GCD(2, 998) = 2

GCD of 724, 972, 382, 998 is 2

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1. What is the GCD of 724, 972, 382, 998?

GCD of 724, 972, 382, 998 is 2

2. Where do I get the detailed procedure to find GCD of 724, 972, 382, 998?

You can find a detailed procedure to find GCD of 724, 972, 382, 998 on our page.

3. How to find GCD of 724, 972, 382, 998 on a calculator?

You can find the GCD of 724, 972, 382, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.