GCD of 90, 90, 75, 95 Calculator

Given Input numbers are 90, 90, 75, 95

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 95

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

1, 5, 19, 95

Greatest Common Divisior

We found the divisors of 90, 90, 75, 95 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 90, 75, 95 is 5.

Therefore, GCD of numbers 90, 90, 75, 95 is 5

Given Input Data is 90, 90, 75, 95

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 95 is 5 x 19

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(90, 90) = 90

GCD(90, 90) = ( 90 x 90 ) / 90

GCD(90, 90) = 8100 / 90

GCD(90, 90) = 90

Step2:

Here we consider the GCD from the above i.e. 90 as first number and the next as 75

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

LCM(90, 75) = 450

GCD(90, 75) = ( 90 x 75 ) / 450

GCD(90, 75) = 6750 / 450

GCD(90, 75) = 15

Step3:

Here we consider the GCD from the above i.e. 15 as first number and the next as 95

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

LCM(15, 95) = 285

GCD(15, 95) = ( 15 x 95 ) / 285

GCD(15, 95) = 1425 / 285

GCD(15, 95) = 5

GCD of 90, 90, 75, 95 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 78, 45, 10
• GCD of 88, 13, 11, 66
• GCD of 16, 47, 39, 82
• GCD of 80, 63, 38, 83
• GCD of 17, 61, 34, 26

1. What is the GCD of 90, 90, 75, 95?

GCD of 90, 90, 75, 95 is 5

2. Where do I get the detailed procedure to find GCD of 90, 90, 75, 95?

You can find a detailed procedure to find GCD of 90, 90, 75, 95 on our page.

3. How to find GCD of 90, 90, 75, 95 on a calculator?

You can find the GCD of 90, 90, 75, 95 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.