GCD of 88, 90, 17, 82 Calculator

Given Input numbers are 88, 90, 17, 82

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

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

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 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Greatest Common Divisior

We found the divisors of 88, 90, 17, 82 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 90, 17, 82 is 1.

Therefore, GCD of numbers 88, 90, 17, 82 is 1

Given Input Data is 88, 90, 17, 82

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

Prime Factorization of 88 is 2 x 2 x 2 x 11

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

Prime Factorization of 17 is 17

Prime Factorization of 82 is 2 x 41

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(88, 90) = 3960

GCD(88, 90) = ( 88 x 90 ) / 3960

GCD(88, 90) = 7920 / 3960

GCD(88, 90) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

GCD of 88, 90, 17, 82 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 85, 17, 95
• GCD of 77, 90, 48, 41
• GCD of 70, 36, 54, 74
• GCD of 93, 93, 72, 38
• GCD of 55, 26, 44, 67

1. What is the GCD of 88, 90, 17, 82?

GCD of 88, 90, 17, 82 is 1

2. Where do I get the detailed procedure to find GCD of 88, 90, 17, 82?

You can find a detailed procedure to find GCD of 88, 90, 17, 82 on our page.

3. How to find GCD of 88, 90, 17, 82 on a calculator?

You can find the GCD of 88, 90, 17, 82 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.