GCD of 48, 915, 582, 986 Calculator

Given Input numbers are 48, 915, 582, 986

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 48, 915, 582, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 915, 582, 986 is 1.

Therefore, GCD of numbers 48, 915, 582, 986 is 1

Given Input Data is 48, 915, 582, 986

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 986 is 2 x 17 x 29

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(48, 915) = 14640

GCD(48, 915) = ( 48 x 915 ) / 14640

GCD(48, 915) = 43920 / 14640

GCD(48, 915) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 582

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

LCM(3, 582) = 582

GCD(3, 582) = ( 3 x 582 ) / 582

GCD(3, 582) = 1746 / 582

GCD(3, 582) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 986

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

LCM(3, 986) = 2958

GCD(3, 986) = ( 3 x 986 ) / 2958

GCD(3, 986) = 2958 / 2958

GCD(3, 986) = 1

GCD of 48, 915, 582, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 785, 586, 500
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• GCD of 19, 829, 790, 549
• GCD of 61, 100, 544, 902
• GCD of 74, 692, 402, 915

1. What is the GCD of 48, 915, 582, 986?

GCD of 48, 915, 582, 986 is 1

2. Where do I get the detailed procedure to find GCD of 48, 915, 582, 986?

You can find a detailed procedure to find GCD of 48, 915, 582, 986 on our page.

3. How to find GCD of 48, 915, 582, 986 on a calculator?

You can find the GCD of 48, 915, 582, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.