GCD of 997, 976, 66, 344 Calculator

Given Input numbers are 997, 976, 66, 344

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

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

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 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 997, 976, 66, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 976, 66, 344 is 1.

Therefore, GCD of numbers 997, 976, 66, 344 is 1

Given Input Data is 997, 976, 66, 344

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

Prime Factorization of 997 is 997

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(997, 976) = 973072

GCD(997, 976) = ( 997 x 976 ) / 973072

GCD(997, 976) = 973072 / 973072

GCD(997, 976) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 997, 976, 66, 344 is 1

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1. What is the GCD of 997, 976, 66, 344?

GCD of 997, 976, 66, 344 is 1

2. Where do I get the detailed procedure to find GCD of 997, 976, 66, 344?

You can find a detailed procedure to find GCD of 997, 976, 66, 344 on our page.

3. How to find GCD of 997, 976, 66, 344 on a calculator?

You can find the GCD of 997, 976, 66, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.