GCD of 212, 998, 674, 853 Calculator

Given Input numbers are 212, 998, 674, 853

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

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

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 212, 998, 674, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 998, 674, 853 is 1.

Therefore, GCD of numbers 212, 998, 674, 853 is 1

Given Input Data is 212, 998, 674, 853

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 998 is 2 x 499

Prime Factorization of 674 is 2 x 337

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(212, 998) = 105788

GCD(212, 998) = ( 212 x 998 ) / 105788

GCD(212, 998) = 211576 / 105788

GCD(212, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 674

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

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

GCD(2, 674) = 1348 / 674

GCD(2, 674) = 2

Step3:

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

GCD of 212, 998, 674, 853 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 152, 776, 860
• GCD of 785, 108, 150, 439
• GCD of 259, 722, 283, 631
• GCD of 392, 179, 337, 658
• GCD of 903, 136, 286, 227

1. What is the GCD of 212, 998, 674, 853?

GCD of 212, 998, 674, 853 is 1

2. Where do I get the detailed procedure to find GCD of 212, 998, 674, 853?

You can find a detailed procedure to find GCD of 212, 998, 674, 853 on our page.

3. How to find GCD of 212, 998, 674, 853 on a calculator?

You can find the GCD of 212, 998, 674, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.