GCD of 105, 795, 842, 615 Calculator

Given Input numbers are 105, 795, 842, 615

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Greatest Common Divisior

We found the divisors of 105, 795, 842, 615 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 795, 842, 615 is 1.

Therefore, GCD of numbers 105, 795, 842, 615 is 1

Given Input Data is 105, 795, 842, 615

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 842 is 2 x 421

Prime Factorization of 615 is 3 x 5 x 41

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(105, 795) = 5565

GCD(105, 795) = ( 105 x 795 ) / 5565

GCD(105, 795) = 83475 / 5565

GCD(105, 795) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 842

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

LCM(15, 842) = 12630

GCD(15, 842) = ( 15 x 842 ) / 12630

GCD(15, 842) = 12630 / 12630

GCD(15, 842) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 615

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

LCM(1, 615) = 615

GCD(1, 615) = ( 1 x 615 ) / 615

GCD(1, 615) = 615 / 615

GCD(1, 615) = 1

GCD of 105, 795, 842, 615 is 1

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1. What is the GCD of 105, 795, 842, 615?

GCD of 105, 795, 842, 615 is 1

2. Where do I get the detailed procedure to find GCD of 105, 795, 842, 615?

You can find a detailed procedure to find GCD of 105, 795, 842, 615 on our page.

3. How to find GCD of 105, 795, 842, 615 on a calculator?

You can find the GCD of 105, 795, 842, 615 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.