GCD of 265, 360, 398, 982 Calculator

Given Input numbers are 265, 360, 398, 982

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

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

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 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 265, 360, 398, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 265, 360, 398, 982 is 1.

Therefore, GCD of numbers 265, 360, 398, 982 is 1

Given Input Data is 265, 360, 398, 982

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

Prime Factorization of 265 is 5 x 53

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 982 is 2 x 491

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(265, 360) = 19080

GCD(265, 360) = ( 265 x 360 ) / 19080

GCD(265, 360) = 95400 / 19080

GCD(265, 360) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 398

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

LCM(5, 398) = 1990

GCD(5, 398) = ( 5 x 398 ) / 1990

GCD(5, 398) = 1990 / 1990

GCD(5, 398) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 265, 360, 398, 982 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 992, 446, 796, 678
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• GCD of 469, 619, 481, 587

1. What is the GCD of 265, 360, 398, 982?

GCD of 265, 360, 398, 982 is 1

2. Where do I get the detailed procedure to find GCD of 265, 360, 398, 982?

You can find a detailed procedure to find GCD of 265, 360, 398, 982 on our page.

3. How to find GCD of 265, 360, 398, 982 on a calculator?

You can find the GCD of 265, 360, 398, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.