GCD of 10, 615, 491, 612 Calculator

Given Input numbers are 10, 615, 491, 612

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 615

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

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

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 10, 615, 491, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 615, 491, 612 is 1.

Therefore, GCD of numbers 10, 615, 491, 612 is 1

Given Input Data is 10, 615, 491, 612

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 491 is 491

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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(10, 615) = 1230

GCD(10, 615) = ( 10 x 615 ) / 1230

GCD(10, 615) = 6150 / 1230

GCD(10, 615) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 491

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

LCM(5, 491) = 2455

GCD(5, 491) = ( 5 x 491 ) / 2455

GCD(5, 491) = 2455 / 2455

GCD(5, 491) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 1

GCD of 10, 615, 491, 612 is 1

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1. What is the GCD of 10, 615, 491, 612?

GCD of 10, 615, 491, 612 is 1

2. Where do I get the detailed procedure to find GCD of 10, 615, 491, 612?

You can find a detailed procedure to find GCD of 10, 615, 491, 612 on our page.

3. How to find GCD of 10, 615, 491, 612 on a calculator?

You can find the GCD of 10, 615, 491, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.