GCD of 656, 223, 700, 853 Calculator

Given Input numbers are 656, 223, 700, 853

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

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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 656, 223, 700, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 223, 700, 853 is 1.

Therefore, GCD of numbers 656, 223, 700, 853 is 1

Given Input Data is 656, 223, 700, 853

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

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 223 is 223

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

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(656, 223) = 146288

GCD(656, 223) = ( 656 x 223 ) / 146288

GCD(656, 223) = 146288 / 146288

GCD(656, 223) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 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 656, 223, 700, 853 is 1

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1. What is the GCD of 656, 223, 700, 853?

GCD of 656, 223, 700, 853 is 1

2. Where do I get the detailed procedure to find GCD of 656, 223, 700, 853?

You can find a detailed procedure to find GCD of 656, 223, 700, 853 on our page.

3. How to find GCD of 656, 223, 700, 853 on a calculator?

You can find the GCD of 656, 223, 700, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.