GCD of 196, 242, 470, 220 Calculator

Given Input numbers are 196, 242, 470, 220

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

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 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

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

Greatest Common Divisior

We found the divisors of 196, 242, 470, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 242, 470, 220 is 2.

Therefore, GCD of numbers 196, 242, 470, 220 is 2

Given Input Data is 196, 242, 470, 220

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

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 470 is 2 x 5 x 47

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

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(196, 242) = 23716

GCD(196, 242) = ( 196 x 242 ) / 23716

GCD(196, 242) = 47432 / 23716

GCD(196, 242) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 470

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

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

GCD(2, 470) = 940 / 470

GCD(2, 470) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 220

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

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

GCD(2, 220) = 440 / 220

GCD(2, 220) = 2

GCD of 196, 242, 470, 220 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 735, 890, 357
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1. What is the GCD of 196, 242, 470, 220?

GCD of 196, 242, 470, 220 is 2

2. Where do I get the detailed procedure to find GCD of 196, 242, 470, 220?

You can find a detailed procedure to find GCD of 196, 242, 470, 220 on our page.

3. How to find GCD of 196, 242, 470, 220 on a calculator?

You can find the GCD of 196, 242, 470, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.