GCD of 610, 812, 107, 675 Calculator

Given Input numbers are 610, 812, 107, 675

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

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 610, 812, 107, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 812, 107, 675 is 1.

Therefore, GCD of numbers 610, 812, 107, 675 is 1

Given Input Data is 610, 812, 107, 675

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

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 107 is 107

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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(610, 812) = 247660

GCD(610, 812) = ( 610 x 812 ) / 247660

GCD(610, 812) = 495320 / 247660

GCD(610, 812) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 107

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

LCM(2, 107) = 214

GCD(2, 107) = ( 2 x 107 ) / 214

GCD(2, 107) = 214 / 214

GCD(2, 107) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 610, 812, 107, 675 is 1

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1. What is the GCD of 610, 812, 107, 675?

GCD of 610, 812, 107, 675 is 1

2. Where do I get the detailed procedure to find GCD of 610, 812, 107, 675?

You can find a detailed procedure to find GCD of 610, 812, 107, 675 on our page.

3. How to find GCD of 610, 812, 107, 675 on a calculator?

You can find the GCD of 610, 812, 107, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.