GCD of 95, 300, 351, 675 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 95, 300, 351, 675 i.e. 1 largest integer that divides all the numbers equally.

GCD of 95, 300, 351, 675 is 1

GCD(95, 300, 351, 675) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 95, 300, 351, 675 is 1

GCD(95, 300, 351, 675) = 1

GCD of 95,300,351,675 Calculator

GCDof 95,300,351,675 is 1

Given Input numbers are 95, 300, 351, 675

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

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

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 95, 300, 351, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 95, 300, 351, 675 is 1.

Therefore, GCD of numbers 95, 300, 351, 675 is 1

Finding GCD of 95, 300, 351, 675 using Prime Factorization

Given Input Data is 95, 300, 351, 675

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

Prime Factorization of 95 is 5 x 19

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 351 is 3 x 3 x 3 x 13

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

Finding GCD of 95, 300, 351, 675 using LCM Formula

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(95, 300) = 5700

GCD(95, 300) = ( 95 x 300 ) / 5700

GCD(95, 300) = 28500 / 5700

GCD(95, 300) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 351

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

LCM(5, 351) = 1755

GCD(5, 351) = ( 5 x 351 ) / 1755

GCD(5, 351) = 1755 / 1755

GCD(5, 351) = 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 95, 300, 351, 675 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 95, 300, 351, 675

1. What is the GCD of 95, 300, 351, 675?

GCD of 95, 300, 351, 675 is 1


2. Where do I get the detailed procedure to find GCD of 95, 300, 351, 675?

You can find a detailed procedure to find GCD of 95, 300, 351, 675 on our page.


3. How to find GCD of 95, 300, 351, 675 on a calculator?

You can find the GCD of 95, 300, 351, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.