GCD of 352, 314, 853, 842 Calculator

Given Input numbers are 352, 314, 853, 842

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 314

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

1, 2, 157, 314

Divisors of 853

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

1, 853

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 352, 314, 853, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 314, 853, 842 is 1.

Therefore, GCD of numbers 352, 314, 853, 842 is 1

Given Input Data is 352, 314, 853, 842

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 314 is 2 x 157

Prime Factorization of 853 is 853

Prime Factorization of 842 is 2 x 421

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(352, 314) = 55264

GCD(352, 314) = ( 352 x 314 ) / 55264

GCD(352, 314) = 110528 / 55264

GCD(352, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 853

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

LCM(2, 853) = 1706

GCD(2, 853) = ( 2 x 853 ) / 1706

GCD(2, 853) = 1706 / 1706

GCD(2, 853) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 352, 314, 853, 842 is 1

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1. What is the GCD of 352, 314, 853, 842?

GCD of 352, 314, 853, 842 is 1

2. Where do I get the detailed procedure to find GCD of 352, 314, 853, 842?

You can find a detailed procedure to find GCD of 352, 314, 853, 842 on our page.

3. How to find GCD of 352, 314, 853, 842 on a calculator?

You can find the GCD of 352, 314, 853, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.