GCD of 452, 814, 847, 848 Calculator

Given Input numbers are 452, 814, 847, 848

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

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

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 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

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

Greatest Common Divisior

We found the divisors of 452, 814, 847, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 452, 814, 847, 848 is 1.

Therefore, GCD of numbers 452, 814, 847, 848 is 1

Given Input Data is 452, 814, 847, 848

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

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 847 is 7 x 11 x 11

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

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(452, 814) = 183964

GCD(452, 814) = ( 452 x 814 ) / 183964

GCD(452, 814) = 367928 / 183964

GCD(452, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 847

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

LCM(2, 847) = 1694

GCD(2, 847) = ( 2 x 847 ) / 1694

GCD(2, 847) = 1694 / 1694

GCD(2, 847) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 848

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

LCM(1, 848) = 848

GCD(1, 848) = ( 1 x 848 ) / 848

GCD(1, 848) = 848 / 848

GCD(1, 848) = 1

GCD of 452, 814, 847, 848 is 1

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1. What is the GCD of 452, 814, 847, 848?

GCD of 452, 814, 847, 848 is 1

2. Where do I get the detailed procedure to find GCD of 452, 814, 847, 848?

You can find a detailed procedure to find GCD of 452, 814, 847, 848 on our page.

3. How to find GCD of 452, 814, 847, 848 on a calculator?

You can find the GCD of 452, 814, 847, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.