GCD of 814, 848, 49, 649 Calculator

Given Input numbers are 814, 848, 49, 649

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 649

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

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 814, 848, 49, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 848, 49, 649 is 1.

Therefore, GCD of numbers 814, 848, 49, 649 is 1

Given Input Data is 814, 848, 49, 649

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 49 is 7 x 7

Prime Factorization of 649 is 11 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(814, 848) = 345136

GCD(814, 848) = ( 814 x 848 ) / 345136

GCD(814, 848) = 690272 / 345136

GCD(814, 848) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 814, 848, 49, 649 is 1

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1. What is the GCD of 814, 848, 49, 649?

GCD of 814, 848, 49, 649 is 1

2. Where do I get the detailed procedure to find GCD of 814, 848, 49, 649?

You can find a detailed procedure to find GCD of 814, 848, 49, 649 on our page.

3. How to find GCD of 814, 848, 49, 649 on a calculator?

You can find the GCD of 814, 848, 49, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.