GCD of 675, 108, 985, 925 Calculator

Given Input numbers are 675, 108, 985, 925

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 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Greatest Common Divisior

We found the divisors of 675, 108, 985, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 108, 985, 925 is 1.

Therefore, GCD of numbers 675, 108, 985, 925 is 1

Given Input Data is 675, 108, 985, 925

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 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 985 is 5 x 197

Prime Factorization of 925 is 5 x 5 x 37

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, 108) = 2700

GCD(675, 108) = ( 675 x 108 ) / 2700

GCD(675, 108) = 72900 / 2700

GCD(675, 108) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 985

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

LCM(27, 985) = 26595

GCD(27, 985) = ( 27 x 985 ) / 26595

GCD(27, 985) = 26595 / 26595

GCD(27, 985) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 925

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

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

GCD(1, 925) = 925 / 925

GCD(1, 925) = 1

GCD of 675, 108, 985, 925 is 1

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1. What is the GCD of 675, 108, 985, 925?

GCD of 675, 108, 985, 925 is 1

2. Where do I get the detailed procedure to find GCD of 675, 108, 985, 925?

You can find a detailed procedure to find GCD of 675, 108, 985, 925 on our page.

3. How to find GCD of 675, 108, 985, 925 on a calculator?

You can find the GCD of 675, 108, 985, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.