GCD of 89, 75, 93, 83 Calculator

Given Input numbers are 89, 75, 93, 83

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

Divisors of 89

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

1, 89

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Greatest Common Divisior

We found the divisors of 89, 75, 93, 83 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 75, 93, 83 is 1.

Therefore, GCD of numbers 89, 75, 93, 83 is 1

Given Input Data is 89, 75, 93, 83

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

Prime Factorization of 89 is 89

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 93 is 3 x 31

Prime Factorization of 83 is 83

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(89, 75) = 6675

GCD(89, 75) = ( 89 x 75 ) / 6675

GCD(89, 75) = 6675 / 6675

GCD(89, 75) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 93

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

LCM(1, 93) = 93

GCD(1, 93) = ( 1 x 93 ) / 93

GCD(1, 93) = 93 / 93

GCD(1, 93) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

GCD of 89, 75, 93, 83 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 26, 42, 67
• GCD of 33, 63, 27, 31
• GCD of 46, 79, 41, 11
• GCD of 96, 90, 55, 99
• GCD of 64, 88, 57, 74

1. What is the GCD of 89, 75, 93, 83?

GCD of 89, 75, 93, 83 is 1

2. Where do I get the detailed procedure to find GCD of 89, 75, 93, 83?

You can find a detailed procedure to find GCD of 89, 75, 93, 83 on our page.

3. How to find GCD of 89, 75, 93, 83 on a calculator?

You can find the GCD of 89, 75, 93, 83 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.