GCD of 994, 222, 698, 661 Calculator

Given Input numbers are 994, 222, 698, 661

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Greatest Common Divisior

We found the divisors of 994, 222, 698, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 222, 698, 661 is 1.

Therefore, GCD of numbers 994, 222, 698, 661 is 1

Given Input Data is 994, 222, 698, 661

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 698 is 2 x 349

Prime Factorization of 661 is 661

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(994, 222) = 110334

GCD(994, 222) = ( 994 x 222 ) / 110334

GCD(994, 222) = 220668 / 110334

GCD(994, 222) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 698

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

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

GCD(2, 698) = 1396 / 698

GCD(2, 698) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 661

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

LCM(2, 661) = 1322

GCD(2, 661) = ( 2 x 661 ) / 1322

GCD(2, 661) = 1322 / 1322

GCD(2, 661) = 1

GCD of 994, 222, 698, 661 is 1

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1. What is the GCD of 994, 222, 698, 661?

GCD of 994, 222, 698, 661 is 1

2. Where do I get the detailed procedure to find GCD of 994, 222, 698, 661?

You can find a detailed procedure to find GCD of 994, 222, 698, 661 on our page.

3. How to find GCD of 994, 222, 698, 661 on a calculator?

You can find the GCD of 994, 222, 698, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.