GCD of 853, 221, 795, 922 Calculator

Given Input numbers are 853, 221, 795, 922

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

Divisors of 853

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

1, 853

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Greatest Common Divisior

We found the divisors of 853, 221, 795, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 221, 795, 922 is 1.

Therefore, GCD of numbers 853, 221, 795, 922 is 1

Given Input Data is 853, 221, 795, 922

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

Prime Factorization of 853 is 853

Prime Factorization of 221 is 13 x 17

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 922 is 2 x 461

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(853, 221) = 188513

GCD(853, 221) = ( 853 x 221 ) / 188513

GCD(853, 221) = 188513 / 188513

GCD(853, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 795

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

LCM(1, 795) = 795

GCD(1, 795) = ( 1 x 795 ) / 795

GCD(1, 795) = 795 / 795

GCD(1, 795) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 922

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

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

GCD(1, 922) = 922 / 922

GCD(1, 922) = 1

GCD of 853, 221, 795, 922 is 1

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1. What is the GCD of 853, 221, 795, 922?

GCD of 853, 221, 795, 922 is 1

2. Where do I get the detailed procedure to find GCD of 853, 221, 795, 922?

You can find a detailed procedure to find GCD of 853, 221, 795, 922 on our page.

3. How to find GCD of 853, 221, 795, 922 on a calculator?

You can find the GCD of 853, 221, 795, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.