GCD of 295, 649, 72, 931 Calculator

Given Input numbers are 295, 649, 72, 931

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 649

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

1, 11, 59, 649

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

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

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Greatest Common Divisior

We found the divisors of 295, 649, 72, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 649, 72, 931 is 1.

Therefore, GCD of numbers 295, 649, 72, 931 is 1

Given Input Data is 295, 649, 72, 931

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 649 is 11 x 59

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 931 is 7 x 7 x 19

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(295, 649) = 3245

GCD(295, 649) = ( 295 x 649 ) / 3245

GCD(295, 649) = 191455 / 3245

GCD(295, 649) = 59

Step2:

Here we consider the GCD from the above i.e. 59 as first number and the next as 72

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

LCM(59, 72) = 4248

GCD(59, 72) = ( 59 x 72 ) / 4248

GCD(59, 72) = 4248 / 4248

GCD(59, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 931

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

LCM(1, 931) = 931

GCD(1, 931) = ( 1 x 931 ) / 931

GCD(1, 931) = 931 / 931

GCD(1, 931) = 1

GCD of 295, 649, 72, 931 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 117, 89, 731
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• GCD of 229, 133, 36, 411

1. What is the GCD of 295, 649, 72, 931?

GCD of 295, 649, 72, 931 is 1

2. Where do I get the detailed procedure to find GCD of 295, 649, 72, 931?

You can find a detailed procedure to find GCD of 295, 649, 72, 931 on our page.

3. How to find GCD of 295, 649, 72, 931 on a calculator?

You can find the GCD of 295, 649, 72, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.