GCD of 814, 632, 53, 843 Calculator

Given Input numbers are 814, 632, 53, 843

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 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Greatest Common Divisior

We found the divisors of 814, 632, 53, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 632, 53, 843 is 1.

Therefore, GCD of numbers 814, 632, 53, 843 is 1

Given Input Data is 814, 632, 53, 843

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 632 is 2 x 2 x 2 x 79

Prime Factorization of 53 is 53

Prime Factorization of 843 is 3 x 281

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, 632) = 257224

GCD(814, 632) = ( 814 x 632 ) / 257224

GCD(814, 632) = 514448 / 257224

GCD(814, 632) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 843

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

LCM(1, 843) = 843

GCD(1, 843) = ( 1 x 843 ) / 843

GCD(1, 843) = 843 / 843

GCD(1, 843) = 1

GCD of 814, 632, 53, 843 is 1

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• GCD of 715, 868, 75, 279
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1. What is the GCD of 814, 632, 53, 843?

GCD of 814, 632, 53, 843 is 1

2. Where do I get the detailed procedure to find GCD of 814, 632, 53, 843?

You can find a detailed procedure to find GCD of 814, 632, 53, 843 on our page.

3. How to find GCD of 814, 632, 53, 843 on a calculator?

You can find the GCD of 814, 632, 53, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.