GCD of 70, 242, 388, 220 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 70, 242, 388, 220 i.e. 2 largest integer that divides all the numbers equally.

GCD of 70, 242, 388, 220 is 2

GCD(70, 242, 388, 220) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 70, 242, 388, 220 is 2

GCD(70, 242, 388, 220) = 2

GCD of 70,242,388,220 Calculator

GCDof 70,242,388,220 is 2

Given Input numbers are 70, 242, 388, 220

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 242

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

1, 2, 11, 22, 121, 242

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

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 70, 242, 388, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 242, 388, 220 is 2.

Therefore, GCD of numbers 70, 242, 388, 220 is 2

Finding GCD of 70, 242, 388, 220 using Prime Factorization

Given Input Data is 70, 242, 388, 220

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 388 is 2 x 2 x 97

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

Finding GCD of 70, 242, 388, 220 using LCM Formula

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(70, 242) = 8470

GCD(70, 242) = ( 70 x 242 ) / 8470

GCD(70, 242) = 16940 / 8470

GCD(70, 242) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 388

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

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

GCD(2, 388) = 776 / 388

GCD(2, 388) = 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 70, 242, 388, 220 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 70, 242, 388, 220

1. What is the GCD of 70, 242, 388, 220?

GCD of 70, 242, 388, 220 is 2


2. Where do I get the detailed procedure to find GCD of 70, 242, 388, 220?

You can find a detailed procedure to find GCD of 70, 242, 388, 220 on our page.


3. How to find GCD of 70, 242, 388, 220 on a calculator?

You can find the GCD of 70, 242, 388, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.