Greatest Common Factor of 386/6560, 498/8514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 386/6560, 498/8514

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 386/6560,498/8514

Given fractions are 386/6560,498/8514

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 386,498

Greatest Common Factor of Numerators i.e. GCF of 386,498 is 2 .

LCM of Denominators means LCM of 6560,8514 as per the given fractions.

LCM of 6560,8514 is 27925920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 386,498

GCF of Fractions 386/6560,498/8514 is 2/27925920

2 386, 498
193, 249

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

Greatest Common Factor of 386,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 386,498 By Matching Biggest Common Factor Method

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 386,498 . The biggest common factor number is the GCF number.
So the greatest common factor 386,498 is 2.

Lets's calculate LCM of 6560,8514

2 6560, 8514
3280, 4257

∴ So the LCM of the given numbers is 2 x 3280 x 4257 = 27925920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27925920

Therefore, the GCF of Fractions 386/6560,498/8514 is 2/27925920

Least Common Multiple of 6560,8514 with GCF Formula

Least Common Multiple of 6560,8514 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 6560,8514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6560,8514) = 2

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

GCF(6560,8514) x common factors =2 x 1 = 2

LCM(6560,8514) = ( 6560 × 8514 ) / 2

LCM(6560,8514) = 55851840 / 2

LCM(6560,8514) = 27925920


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 386/6560, 498/8514

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 386/6560, 498/8514?

Answer: GCF of Numerators as per given numbers 386/6560, 498/8514 is

GCF of Numerators i.e. for 386,498 is 2

LCM of denominators i.e. for 6560,8514 is 27925920.

Thus, GCF of Fractions is 2/27925920.Finally, GCF of Fractions for 386/6560, 498/8514 is 2/27925920.