GCD of 356, 314, 843, 853 Calculator

Given Input numbers are 356, 314, 843, 853

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 843

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

1, 3, 281, 843

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 356, 314, 843, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 314, 843, 853 is 1.

Therefore, GCD of numbers 356, 314, 843, 853 is 1

Given Input Data is 356, 314, 843, 853

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 314 is 2 x 157

Prime Factorization of 843 is 3 x 281

Prime Factorization of 853 is 853

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(356, 314) = 55892

GCD(356, 314) = ( 356 x 314 ) / 55892

GCD(356, 314) = 111784 / 55892

GCD(356, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 843

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

LCM(2, 843) = 1686

GCD(2, 843) = ( 2 x 843 ) / 1686

GCD(2, 843) = 1686 / 1686

GCD(2, 843) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

GCD of 356, 314, 843, 853 is 1

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1. What is the GCD of 356, 314, 843, 853?

GCD of 356, 314, 843, 853 is 1

2. Where do I get the detailed procedure to find GCD of 356, 314, 843, 853?

You can find a detailed procedure to find GCD of 356, 314, 843, 853 on our page.

3. How to find GCD of 356, 314, 843, 853 on a calculator?

You can find the GCD of 356, 314, 843, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.