GCD of 295, 654, 21 Calculator

Given Input numbers are 295, 654, 21

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 295, 654, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 654, 21 is 1.

Therefore, GCD of numbers 295, 654, 21 is 1

Given Input Data is 295, 654, 21

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 21 is 3 x 7

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(295, 654) = 192930

GCD(295, 654) = ( 295 x 654 ) / 192930

GCD(295, 654) = 192930 / 192930

GCD(295, 654) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

GCD of 295, 654, 21 is 1

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1. What is the GCD of 295, 654, 21?

GCD of 295, 654, 21 is 1

2. Where do I get the detailed procedure to find GCD of 295, 654, 21?

You can find a detailed procedure to find GCD of 295, 654, 21 on our page.

3. How to find GCD of 295, 654, 21 on a calculator?

You can find the GCD of 295, 654, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.