GCD of 95, 957, 109, 300 Calculator

Given Input numbers are 95, 957, 109, 300

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 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 109

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

1, 109

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

Greatest Common Divisior

We found the divisors of 95, 957, 109, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 95, 957, 109, 300 is 1.

Therefore, GCD of numbers 95, 957, 109, 300 is 1

Given Input Data is 95, 957, 109, 300

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

Prime Factorization of 95 is 5 x 19

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 109 is 109

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

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(95, 957) = 90915

GCD(95, 957) = ( 95 x 957 ) / 90915

GCD(95, 957) = 90915 / 90915

GCD(95, 957) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 95, 957, 109, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 725, 885, 376
• GCD of 95, 740, 801, 630
• GCD of 65, 928, 224, 868
• GCD of 63, 307, 249, 613
• GCD of 30, 446, 419, 899

1. What is the GCD of 95, 957, 109, 300?

GCD of 95, 957, 109, 300 is 1

2. Where do I get the detailed procedure to find GCD of 95, 957, 109, 300?

You can find a detailed procedure to find GCD of 95, 957, 109, 300 on our page.

3. How to find GCD of 95, 957, 109, 300 on a calculator?

You can find the GCD of 95, 957, 109, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.