GCD of 976, 649, 372, 844 Calculator

Given Input numbers are 976, 649, 372, 844

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

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 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Greatest Common Divisior

We found the divisors of 976, 649, 372, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 649, 372, 844 is 1.

Therefore, GCD of numbers 976, 649, 372, 844 is 1

Given Input Data is 976, 649, 372, 844

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

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

Prime Factorization of 649 is 11 x 59

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 844 is 2 x 2 x 211

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(976, 649) = 633424

GCD(976, 649) = ( 976 x 649 ) / 633424

GCD(976, 649) = 633424 / 633424

GCD(976, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 372

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

LCM(1, 372) = 372

GCD(1, 372) = ( 1 x 372 ) / 372

GCD(1, 372) = 372 / 372

GCD(1, 372) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 844

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

LCM(1, 844) = 844

GCD(1, 844) = ( 1 x 844 ) / 844

GCD(1, 844) = 844 / 844

GCD(1, 844) = 1

GCD of 976, 649, 372, 844 is 1

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1. What is the GCD of 976, 649, 372, 844?

GCD of 976, 649, 372, 844 is 1

2. Where do I get the detailed procedure to find GCD of 976, 649, 372, 844?

You can find a detailed procedure to find GCD of 976, 649, 372, 844 on our page.

3. How to find GCD of 976, 649, 372, 844 on a calculator?

You can find the GCD of 976, 649, 372, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.