GCD of 391, 921, 106, 565 Calculator

Given Input numbers are 391, 921, 106, 565

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

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 391, 921, 106, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 391, 921, 106, 565 is 1.

Therefore, GCD of numbers 391, 921, 106, 565 is 1

Given Input Data is 391, 921, 106, 565

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

Prime Factorization of 391 is 17 x 23

Prime Factorization of 921 is 3 x 307

Prime Factorization of 106 is 2 x 53

Prime Factorization of 565 is 5 x 113

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(391, 921) = 360111

GCD(391, 921) = ( 391 x 921 ) / 360111

GCD(391, 921) = 360111 / 360111

GCD(391, 921) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 391, 921, 106, 565 is 1

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1. What is the GCD of 391, 921, 106, 565?

GCD of 391, 921, 106, 565 is 1

2. Where do I get the detailed procedure to find GCD of 391, 921, 106, 565?

You can find a detailed procedure to find GCD of 391, 921, 106, 565 on our page.

3. How to find GCD of 391, 921, 106, 565 on a calculator?

You can find the GCD of 391, 921, 106, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.