Greatest Common Factor of 1310/490, 9662/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1310/490, 9662/518

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 1310/490,9662/518

Given fractions are 1310/490,9662/518

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 1310,9662

Greatest Common Factor of Numerators i.e. GCF of 1310,9662 is 2 .

LCM of Denominators means LCM of 490,518 as per the given fractions.

LCM of 490,518 is 18130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1310,9662

GCF of Fractions 1310/490,9662/518 is 2/18130

2 1310, 9662
655, 4831

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1310,9662 By Matching Biggest Common Factor Method

Greatest Common Factor of 1310,9662 By Matching Biggest Common Factor Method

Factors of 1310

List of positive integer factors of 1310 that divides 1310 without a remainder.

1,2,5,10,131,262,655,1310

Factors of 9662

List of positive integer factors of 9662 that divides 9662 without a remainder.

1,2,4831,9662

Greatest Common Factor

We found the factors 1310,9662 . The biggest common factor number is the GCF number.
So the greatest common factor 1310,9662 is 2.

Lets's calculate LCM of 490,518

2 490, 518
7 245, 259
35, 37

∴ So the LCM of the given numbers is 2 x 7 x 35 x 37 = 18130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18130

Therefore, the GCF of Fractions 1310/490,9662/518 is 2/18130

Least Common Multiple of 490,518 with GCF Formula

Least Common Multiple of 490,518 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 490,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,518) = 14

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

GCF(490,518) x common factors =14 x 1 = 14

LCM(490,518) = ( 490 × 518 ) / 14

LCM(490,518) = 253820 / 14

LCM(490,518) = 18130


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 1310/490, 9662/518

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 1310/490, 9662/518?

Answer: GCF of Numerators as per given numbers 1310/490, 9662/518 is

GCF of Numerators i.e. for 1310,9662 is 2

LCM of denominators i.e. for 490,518 is 18130.

Thus, GCF of Fractions is 2/18130.Finally, GCF of Fractions for 1310/490, 9662/518 is 2/18130.