GCD of 988, 120, 801, 305 Calculator

Given Input numbers are 988, 120, 801, 305

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

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 988, 120, 801, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 120, 801, 305 is 1.

Therefore, GCD of numbers 988, 120, 801, 305 is 1

Given Input Data is 988, 120, 801, 305

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 801 is 3 x 3 x 89

Prime Factorization of 305 is 5 x 61

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(988, 120) = 29640

GCD(988, 120) = ( 988 x 120 ) / 29640

GCD(988, 120) = 118560 / 29640

GCD(988, 120) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 801

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

LCM(4, 801) = 3204

GCD(4, 801) = ( 4 x 801 ) / 3204

GCD(4, 801) = 3204 / 3204

GCD(4, 801) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

GCD of 988, 120, 801, 305 is 1

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1. What is the GCD of 988, 120, 801, 305?

GCD of 988, 120, 801, 305 is 1

2. Where do I get the detailed procedure to find GCD of 988, 120, 801, 305?

You can find a detailed procedure to find GCD of 988, 120, 801, 305 on our page.

3. How to find GCD of 988, 120, 801, 305 on a calculator?

You can find the GCD of 988, 120, 801, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.