GCD of 866, 302, 632, 109 Calculator

Given Input numbers are 866, 302, 632, 109

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

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 866, 302, 632, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 866, 302, 632, 109 is 1.

Therefore, GCD of numbers 866, 302, 632, 109 is 1

Given Input Data is 866, 302, 632, 109

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

Prime Factorization of 866 is 2 x 433

Prime Factorization of 302 is 2 x 151

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 109 is 109

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(866, 302) = 130766

GCD(866, 302) = ( 866 x 302 ) / 130766

GCD(866, 302) = 261532 / 130766

GCD(866, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 632

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

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

GCD(2, 632) = 1264 / 632

GCD(2, 632) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 109

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

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

GCD(2, 109) = 218 / 218

GCD(2, 109) = 1

GCD of 866, 302, 632, 109 is 1

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1. What is the GCD of 866, 302, 632, 109?

GCD of 866, 302, 632, 109 is 1

2. Where do I get the detailed procedure to find GCD of 866, 302, 632, 109?

You can find a detailed procedure to find GCD of 866, 302, 632, 109 on our page.

3. How to find GCD of 866, 302, 632, 109 on a calculator?

You can find the GCD of 866, 302, 632, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.