GCD of 109, 975, 65, 485 Calculator

Given Input numbers are 109, 975, 65, 485

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 485

List of positive integer divisors of 485 that divides 485 without a remainder.

1, 5, 97, 485

Greatest Common Divisior

We found the divisors of 109, 975, 65, 485 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 975, 65, 485 is 1.

Therefore, GCD of numbers 109, 975, 65, 485 is 1

Given Input Data is 109, 975, 65, 485

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

Prime Factorization of 109 is 109

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 65 is 5 x 13

Prime Factorization of 485 is 5 x 97

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(109, 975) = 106275

GCD(109, 975) = ( 109 x 975 ) / 106275

GCD(109, 975) = 106275 / 106275

GCD(109, 975) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 485

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

LCM(1, 485) = 485

GCD(1, 485) = ( 1 x 485 ) / 485

GCD(1, 485) = 485 / 485

GCD(1, 485) = 1

GCD of 109, 975, 65, 485 is 1

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1. What is the GCD of 109, 975, 65, 485?

GCD of 109, 975, 65, 485 is 1

2. Where do I get the detailed procedure to find GCD of 109, 975, 65, 485?

You can find a detailed procedure to find GCD of 109, 975, 65, 485 on our page.

3. How to find GCD of 109, 975, 65, 485 on a calculator?

You can find the GCD of 109, 975, 65, 485 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.