GCD of 394, 630, 843, 661 Calculator

Given Input numbers are 394, 630, 843, 661

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

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

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 394, 630, 843, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 630, 843, 661 is 1.

Therefore, GCD of numbers 394, 630, 843, 661 is 1

Given Input Data is 394, 630, 843, 661

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 843 is 3 x 281

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(394, 630) = 124110

GCD(394, 630) = ( 394 x 630 ) / 124110

GCD(394, 630) = 248220 / 124110

GCD(394, 630) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 843

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

LCM(2, 843) = 1686

GCD(2, 843) = ( 2 x 843 ) / 1686

GCD(2, 843) = 1686 / 1686

GCD(2, 843) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

GCD of 394, 630, 843, 661 is 1

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1. What is the GCD of 394, 630, 843, 661?

GCD of 394, 630, 843, 661 is 1

2. Where do I get the detailed procedure to find GCD of 394, 630, 843, 661?

You can find a detailed procedure to find GCD of 394, 630, 843, 661 on our page.

3. How to find GCD of 394, 630, 843, 661 on a calculator?

You can find the GCD of 394, 630, 843, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.