GCD of 984, 993, 614, 352 Calculator

Given Input numbers are 984, 993, 614, 352

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 984, 993, 614, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 993, 614, 352 is 1.

Therefore, GCD of numbers 984, 993, 614, 352 is 1

Given Input Data is 984, 993, 614, 352

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 993 is 3 x 331

Prime Factorization of 614 is 2 x 307

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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(984, 993) = 325704

GCD(984, 993) = ( 984 x 993 ) / 325704

GCD(984, 993) = 977112 / 325704

GCD(984, 993) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 614

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

LCM(3, 614) = 1842

GCD(3, 614) = ( 3 x 614 ) / 1842

GCD(3, 614) = 1842 / 1842

GCD(3, 614) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

GCD of 984, 993, 614, 352 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 127, 638, 862, 251
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1. What is the GCD of 984, 993, 614, 352?

GCD of 984, 993, 614, 352 is 1

2. Where do I get the detailed procedure to find GCD of 984, 993, 614, 352?

You can find a detailed procedure to find GCD of 984, 993, 614, 352 on our page.

3. How to find GCD of 984, 993, 614, 352 on a calculator?

You can find the GCD of 984, 993, 614, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.