GCD of 248, 660, 78, 210 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 248, 660, 78, 210 i.e. 2 largest integer that divides all the numbers equally.

GCD of 248, 660, 78, 210 is 2

GCD(248, 660, 78, 210) = 2

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

GCD of

GCD of numbers 248, 660, 78, 210 is 2

GCD(248, 660, 78, 210) = 2

GCD of 248,660,78,210 Calculator

GCDof 248,660,78,210 is 2

Given Input numbers are 248, 660, 78, 210

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

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 248, 660, 78, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 660, 78, 210 is 2.

Therefore, GCD of numbers 248, 660, 78, 210 is 2

Finding GCD of 248, 660, 78, 210 using Prime Factorization

Given Input Data is 248, 660, 78, 210

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

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 210 is 2 x 3 x 5 x 7

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 248, 660, 78, 210 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(248, 660) = 40920

GCD(248, 660) = ( 248 x 660 ) / 40920

GCD(248, 660) = 163680 / 40920

GCD(248, 660) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 78

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

LCM(4, 78) = 156

GCD(4, 78) = ( 4 x 78 ) / 156

GCD(4, 78) = 312 / 156

GCD(4, 78) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 210

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

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

GCD(2, 210) = 420 / 210

GCD(2, 210) = 2

GCD of 248, 660, 78, 210 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 248, 660, 78, 210

1. What is the GCD of 248, 660, 78, 210?

GCD of 248, 660, 78, 210 is 2


2. Where do I get the detailed procedure to find GCD of 248, 660, 78, 210?

You can find a detailed procedure to find GCD of 248, 660, 78, 210 on our page.


3. How to find GCD of 248, 660, 78, 210 on a calculator?

You can find the GCD of 248, 660, 78, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.