GCD of 75, 85, 95, 89 Calculator

Given Input numbers are 75, 85, 95, 89

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

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 95

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

1, 5, 19, 95

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Greatest Common Divisior

We found the divisors of 75, 85, 95, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 85, 95, 89 is 1.

Therefore, GCD of numbers 75, 85, 95, 89 is 1

Given Input Data is 75, 85, 95, 89

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 85 is 5 x 17

Prime Factorization of 95 is 5 x 19

Prime Factorization of 89 is 89

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(75, 85) = 1275

GCD(75, 85) = ( 75 x 85 ) / 1275

GCD(75, 85) = 6375 / 1275

GCD(75, 85) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 95

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

LCM(5, 95) = 95

GCD(5, 95) = ( 5 x 95 ) / 95

GCD(5, 95) = 475 / 95

GCD(5, 95) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 89

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

LCM(5, 89) = 445

GCD(5, 89) = ( 5 x 89 ) / 445

GCD(5, 89) = 445 / 445

GCD(5, 89) = 1

GCD of 75, 85, 95, 89 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 13, 44, 26
• GCD of 66, 68, 91, 53
• GCD of 59, 96, 84, 55
• GCD of 52, 58, 24, 90
• GCD of 98, 14, 36, 64

1. What is the GCD of 75, 85, 95, 89?

GCD of 75, 85, 95, 89 is 1

2. Where do I get the detailed procedure to find GCD of 75, 85, 95, 89?

You can find a detailed procedure to find GCD of 75, 85, 95, 89 on our page.

3. How to find GCD of 75, 85, 95, 89 on a calculator?

You can find the GCD of 75, 85, 95, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.