GCD of 675, 920, 385, 109 Calculator

Given Input numbers are 675, 920, 385, 109

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 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 109

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

1, 109

Greatest Common Divisior

We found the divisors of 675, 920, 385, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 920, 385, 109 is 1.

Therefore, GCD of numbers 675, 920, 385, 109 is 1

Given Input Data is 675, 920, 385, 109

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 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 109 is 109

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, 920) = 124200

GCD(675, 920) = ( 675 x 920 ) / 124200

GCD(675, 920) = 621000 / 124200

GCD(675, 920) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 385

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

LCM(5, 385) = 385

GCD(5, 385) = ( 5 x 385 ) / 385

GCD(5, 385) = 1925 / 385

GCD(5, 385) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 109

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

LCM(5, 109) = 545

GCD(5, 109) = ( 5 x 109 ) / 545

GCD(5, 109) = 545 / 545

GCD(5, 109) = 1

GCD of 675, 920, 385, 109 is 1

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1. What is the GCD of 675, 920, 385, 109?

GCD of 675, 920, 385, 109 is 1

2. Where do I get the detailed procedure to find GCD of 675, 920, 385, 109?

You can find a detailed procedure to find GCD of 675, 920, 385, 109 on our page.

3. How to find GCD of 675, 920, 385, 109 on a calculator?

You can find the GCD of 675, 920, 385, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.