GCD of 996, 342, 976, 467 Calculator

Given Input numbers are 996, 342, 976, 467

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

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 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 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Greatest Common Divisior

We found the divisors of 996, 342, 976, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 342, 976, 467 is 1.

Therefore, GCD of numbers 996, 342, 976, 467 is 1

Given Input Data is 996, 342, 976, 467

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

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

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

Prime Factorization of 467 is 467

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(996, 342) = 56772

GCD(996, 342) = ( 996 x 342 ) / 56772

GCD(996, 342) = 340632 / 56772

GCD(996, 342) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 976

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

LCM(6, 976) = 2928

GCD(6, 976) = ( 6 x 976 ) / 2928

GCD(6, 976) = 5856 / 2928

GCD(6, 976) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 467

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

LCM(2, 467) = 934

GCD(2, 467) = ( 2 x 467 ) / 934

GCD(2, 467) = 934 / 934

GCD(2, 467) = 1

GCD of 996, 342, 976, 467 is 1

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1. What is the GCD of 996, 342, 976, 467?

GCD of 996, 342, 976, 467 is 1

2. Where do I get the detailed procedure to find GCD of 996, 342, 976, 467?

You can find a detailed procedure to find GCD of 996, 342, 976, 467 on our page.

3. How to find GCD of 996, 342, 976, 467 on a calculator?

You can find the GCD of 996, 342, 976, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.