GCD of 342, 866, 24, 976 Calculator

Given Input numbers are 342, 866, 24, 976

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

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 976

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

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

Greatest Common Divisior

We found the divisors of 342, 866, 24, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 866, 24, 976 is 2.

Therefore, GCD of numbers 342, 866, 24, 976 is 2

Given Input Data is 342, 866, 24, 976

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 866 is 2 x 433

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

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(342, 866) = 148086

GCD(342, 866) = ( 342 x 866 ) / 148086

GCD(342, 866) = 296172 / 148086

GCD(342, 866) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 976

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

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

GCD(2, 976) = 1952 / 976

GCD(2, 976) = 2

GCD of 342, 866, 24, 976 is 2

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1. What is the GCD of 342, 866, 24, 976?

GCD of 342, 866, 24, 976 is 2

2. Where do I get the detailed procedure to find GCD of 342, 866, 24, 976?

You can find a detailed procedure to find GCD of 342, 866, 24, 976 on our page.

3. How to find GCD of 342, 866, 24, 976 on a calculator?

You can find the GCD of 342, 866, 24, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.