GCD of 760, 998, 668, 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 760, 998, 668, 210 i.e. 2 largest integer that divides all the numbers equally.

GCD of 760, 998, 668, 210 is 2

GCD(760, 998, 668, 210) = 2

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

GCD of

GCD of numbers 760, 998, 668, 210 is 2

GCD(760, 998, 668, 210) = 2

GCD of 760,998,668,210 Calculator

GCDof 760,998,668,210 is 2

Given Input numbers are 760, 998, 668, 210

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

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 760, 998, 668, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 998, 668, 210 is 2.

Therefore, GCD of numbers 760, 998, 668, 210 is 2

Finding GCD of 760, 998, 668, 210 using Prime Factorization

Given Input Data is 760, 998, 668, 210

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 998 is 2 x 499

Prime Factorization of 668 is 2 x 2 x 167

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 760, 998, 668, 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(760, 998) = 379240

GCD(760, 998) = ( 760 x 998 ) / 379240

GCD(760, 998) = 758480 / 379240

GCD(760, 998) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 668

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

LCM(2, 668) = 668

GCD(2, 668) = ( 2 x 668 ) / 668

GCD(2, 668) = 1336 / 668

GCD(2, 668) = 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 760, 998, 668, 210 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 760, 998, 668, 210

1. What is the GCD of 760, 998, 668, 210?

GCD of 760, 998, 668, 210 is 2


2. Where do I get the detailed procedure to find GCD of 760, 998, 668, 210?

You can find a detailed procedure to find GCD of 760, 998, 668, 210 on our page.


3. How to find GCD of 760, 998, 668, 210 on a calculator?

You can find the GCD of 760, 998, 668, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.