GCD of 144, 976, 997, 826 Calculator

Given Input numbers are 144, 976, 997, 826

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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 997

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

1, 997

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Greatest Common Divisior

We found the divisors of 144, 976, 997, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 976, 997, 826 is 1.

Therefore, GCD of numbers 144, 976, 997, 826 is 1

Given Input Data is 144, 976, 997, 826

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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

Prime Factorization of 997 is 997

Prime Factorization of 826 is 2 x 7 x 59

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(144, 976) = 8784

GCD(144, 976) = ( 144 x 976 ) / 8784

GCD(144, 976) = 140544 / 8784

GCD(144, 976) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 997

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

LCM(16, 997) = 15952

GCD(16, 997) = ( 16 x 997 ) / 15952

GCD(16, 997) = 15952 / 15952

GCD(16, 997) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 826

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

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

GCD of 144, 976, 997, 826 is 1

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1. What is the GCD of 144, 976, 997, 826?

GCD of 144, 976, 997, 826 is 1

2. Where do I get the detailed procedure to find GCD of 144, 976, 997, 826?

You can find a detailed procedure to find GCD of 144, 976, 997, 826 on our page.

3. How to find GCD of 144, 976, 997, 826 on a calculator?

You can find the GCD of 144, 976, 997, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.