GCD of 998, 384, 807, 980 Calculator

Given Input numbers are 998, 384, 807, 980

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 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Greatest Common Divisior

We found the divisors of 998, 384, 807, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 384, 807, 980 is 1.

Therefore, GCD of numbers 998, 384, 807, 980 is 1

Given Input Data is 998, 384, 807, 980

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 807 is 3 x 269

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

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, 384) = 191616

GCD(998, 384) = ( 998 x 384 ) / 191616

GCD(998, 384) = 383232 / 191616

GCD(998, 384) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 807

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

LCM(2, 807) = 1614

GCD(2, 807) = ( 2 x 807 ) / 1614

GCD(2, 807) = 1614 / 1614

GCD(2, 807) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

GCD of 998, 384, 807, 980 is 1

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1. What is the GCD of 998, 384, 807, 980?

GCD of 998, 384, 807, 980 is 1

2. Where do I get the detailed procedure to find GCD of 998, 384, 807, 980?

You can find a detailed procedure to find GCD of 998, 384, 807, 980 on our page.

3. How to find GCD of 998, 384, 807, 980 on a calculator?

You can find the GCD of 998, 384, 807, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.