GCD of 220, 196, 90 Calculator

Given Input numbers are 220, 196, 90

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

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

Greatest Common Divisior

We found the divisors of 220, 196, 90 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 196, 90 is 2.

Therefore, GCD of numbers 220, 196, 90 is 2

Given Input Data is 220, 196, 90

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 196 is 2 x 2 x 7 x 7

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(220, 196) = 10780

GCD(220, 196) = ( 220 x 196 ) / 10780

GCD(220, 196) = 43120 / 10780

GCD(220, 196) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 90

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

LCM(4, 90) = 180

GCD(4, 90) = ( 4 x 90 ) / 180

GCD(4, 90) = 360 / 180

GCD(4, 90) = 2

GCD of 220, 196, 90 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 919, 59
• GCD of 448, 155, 93
• GCD of 258, 587, 73
• GCD of 523, 193, 24
• GCD of 849, 797, 59

1. What is the GCD of 220, 196, 90?

GCD of 220, 196, 90 is 2

2. Where do I get the detailed procedure to find GCD of 220, 196, 90?

You can find a detailed procedure to find GCD of 220, 196, 90 on our page.

3. How to find GCD of 220, 196, 90 on a calculator?

You can find the GCD of 220, 196, 90 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.