GCD of 24, 105, 976, 240 Calculator

Given Input numbers are 24, 105, 976, 240

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

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 24, 105, 976, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 105, 976, 240 is 1.

Therefore, GCD of numbers 24, 105, 976, 240 is 1

Given Input Data is 24, 105, 976, 240

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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(24, 105) = 840

GCD(24, 105) = ( 24 x 105 ) / 840

GCD(24, 105) = 2520 / 840

GCD(24, 105) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 976

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

LCM(3, 976) = 2928

GCD(3, 976) = ( 3 x 976 ) / 2928

GCD(3, 976) = 2928 / 2928

GCD(3, 976) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 24, 105, 976, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 889, 459, 324
• GCD of 89, 219, 398, 104
• GCD of 78, 647, 967, 789
• GCD of 44, 488, 340, 921
• GCD of 74, 362, 353, 909

1. What is the GCD of 24, 105, 976, 240?

GCD of 24, 105, 976, 240 is 1

2. Where do I get the detailed procedure to find GCD of 24, 105, 976, 240?

You can find a detailed procedure to find GCD of 24, 105, 976, 240 on our page.

3. How to find GCD of 24, 105, 976, 240 on a calculator?

You can find the GCD of 24, 105, 976, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.