Greatest Common Factor of 717/490, 8238/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 717/490, 8238/210

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 717/490,8238/210

Given fractions are 717/490,8238/210

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 717,8238

Greatest Common Factor of Numerators i.e. GCF of 717,8238 is 3 .

LCM of Denominators means LCM of 490,210 as per the given fractions.

LCM of 490,210 is 1470 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 717,8238

GCF of Fractions 717/490,8238/210 is 3/1470

3 717, 8238
239, 2746

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 717,8238 By Matching Biggest Common Factor Method

Greatest Common Factor of 717,8238 By Matching Biggest Common Factor Method

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 8238

List of positive integer factors of 8238 that divides 8238 without a remainder.

1,2,3,6,1373,2746,4119,8238

Greatest Common Factor

We found the factors 717,8238 . The biggest common factor number is the GCF number.
So the greatest common factor 717,8238 is 3.

Lets's calculate LCM of 490,210

2 490, 210
5 245, 105
7 49, 21
7, 3

∴ So the LCM of the given numbers is 2 x 5 x 7 x 7 x 3 = 1470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1470

Therefore, the GCF of Fractions 717/490,8238/210 is 3/1470

Least Common Multiple of 490,210 with GCF Formula

Least Common Multiple of 490,210 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 490,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,210) = 70

common factors(in case of two or more numbers have common factors) = 1

GCF(490,210) x common factors =70 x 1 = 70

LCM(490,210) = ( 490 × 210 ) / 70

LCM(490,210) = 102900 / 70

LCM(490,210) = 1470


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 717/490, 8238/210

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 717/490, 8238/210?

Answer: GCF of Numerators as per given numbers 717/490, 8238/210 is

GCF of Numerators i.e. for 717,8238 is 3

LCM of denominators i.e. for 490,210 is 1470.

Thus, GCF of Fractions is 3/1470.Finally, GCF of Fractions for 717/490, 8238/210 is 3/1470.