GCD of 649, 308, 940, 295 Calculator

Given Input numbers are 649, 308, 940, 295

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

Divisors of 649

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

1, 11, 59, 649

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 295

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

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 649, 308, 940, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 308, 940, 295 is 1.

Therefore, GCD of numbers 649, 308, 940, 295 is 1

Given Input Data is 649, 308, 940, 295

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

Prime Factorization of 649 is 11 x 59

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 295 is 5 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(649, 308) = 18172

GCD(649, 308) = ( 649 x 308 ) / 18172

GCD(649, 308) = 199892 / 18172

GCD(649, 308) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 940

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

LCM(11, 940) = 10340

GCD(11, 940) = ( 11 x 940 ) / 10340

GCD(11, 940) = 10340 / 10340

GCD(11, 940) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

GCD of 649, 308, 940, 295 is 1

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1. What is the GCD of 649, 308, 940, 295?

GCD of 649, 308, 940, 295 is 1

2. Where do I get the detailed procedure to find GCD of 649, 308, 940, 295?

You can find a detailed procedure to find GCD of 649, 308, 940, 295 on our page.

3. How to find GCD of 649, 308, 940, 295 on a calculator?

You can find the GCD of 649, 308, 940, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.