GCD of 675, 882, 655, 307 Calculator

Given Input numbers are 675, 882, 655, 307

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

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

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Greatest Common Divisior

We found the divisors of 675, 882, 655, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 882, 655, 307 is 1.

Therefore, GCD of numbers 675, 882, 655, 307 is 1

Given Input Data is 675, 882, 655, 307

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

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

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 655 is 5 x 131

Prime Factorization of 307 is 307

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(675, 882) = 66150

GCD(675, 882) = ( 675 x 882 ) / 66150

GCD(675, 882) = 595350 / 66150

GCD(675, 882) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 655

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

LCM(9, 655) = 5895

GCD(9, 655) = ( 9 x 655 ) / 5895

GCD(9, 655) = 5895 / 5895

GCD(9, 655) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 307

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

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

GCD(1, 307) = 307 / 307

GCD(1, 307) = 1

GCD of 675, 882, 655, 307 is 1

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1. What is the GCD of 675, 882, 655, 307?

GCD of 675, 882, 655, 307 is 1

2. Where do I get the detailed procedure to find GCD of 675, 882, 655, 307?

You can find a detailed procedure to find GCD of 675, 882, 655, 307 on our page.

3. How to find GCD of 675, 882, 655, 307 on a calculator?

You can find the GCD of 675, 882, 655, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.