GCD of 80, 55, 90, 98 Calculator

Given Input numbers are 80, 55, 90, 98

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

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 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Greatest Common Divisior

We found the divisors of 80, 55, 90, 98 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 55, 90, 98 is 1.

Therefore, GCD of numbers 80, 55, 90, 98 is 1

Given Input Data is 80, 55, 90, 98

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 55 is 5 x 11

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

Prime Factorization of 98 is 2 x 7 x 7

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(80, 55) = 880

GCD(80, 55) = ( 80 x 55 ) / 880

GCD(80, 55) = 4400 / 880

GCD(80, 55) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 90

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

LCM(5, 90) = 90

GCD(5, 90) = ( 5 x 90 ) / 90

GCD(5, 90) = 450 / 90

GCD(5, 90) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 98

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

LCM(5, 98) = 490

GCD(5, 98) = ( 5 x 98 ) / 490

GCD(5, 98) = 490 / 490

GCD(5, 98) = 1

GCD of 80, 55, 90, 98 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 49, 92, 39
• GCD of 41, 82, 59, 18
• GCD of 25, 71, 21, 69
• GCD of 22, 28, 10, 58
• GCD of 57, 22, 15, 89

1. What is the GCD of 80, 55, 90, 98?

GCD of 80, 55, 90, 98 is 1

2. Where do I get the detailed procedure to find GCD of 80, 55, 90, 98?

You can find a detailed procedure to find GCD of 80, 55, 90, 98 on our page.

3. How to find GCD of 80, 55, 90, 98 on a calculator?

You can find the GCD of 80, 55, 90, 98 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.