Greatest Common Factor of 1518/704, 5389/4810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1518/704, 5389/4810

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 1518/704,5389/4810

Given fractions are 1518/704,5389/4810

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 1518,5389

Greatest Common Factor of Numerators i.e. GCF of 1518,5389 is 1 .

LCM of Denominators means LCM of 704,4810 as per the given fractions.

LCM of 704,4810 is 1693120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1518,5389

GCF of Fractions 1518/704,5389/4810 is 1/1693120

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1518,5389 By Matching Biggest Common Factor Method

Greatest Common Factor of 1518,5389 By Matching Biggest Common Factor Method

Factors of 1518

List of positive integer factors of 1518 that divides 1518 without a remainder.

1,2,3,6,11,22,23,33,46,66,69,138,253,506,759,1518

Factors of 5389

List of positive integer factors of 5389 that divides 5389 without a remainder.

1,17,317,5389

Greatest Common Factor

We found the factors 1518,5389 . The biggest common factor number is the GCF number.
So the greatest common factor 1518,5389 is 1.

Lets's calculate LCM of 704,4810

2 704, 4810
352, 2405

∴ So the LCM of the given numbers is 2 x 352 x 2405 = 1693120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1693120

Therefore, the GCF of Fractions 1518/704,5389/4810 is 1/1693120

Least Common Multiple of 704,4810 with GCF Formula

Least Common Multiple of 704,4810 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 704,4810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,4810) = 2

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

GCF(704,4810) x common factors =2 x 1 = 2

LCM(704,4810) = ( 704 × 4810 ) / 2

LCM(704,4810) = 3386240 / 2

LCM(704,4810) = 1693120


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 1518/704, 5389/4810

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 1518/704, 5389/4810?

Answer: GCF of Numerators as per given numbers 1518/704, 5389/4810 is

GCF of Numerators i.e. for 1518,5389 is 1

LCM of denominators i.e. for 704,4810 is 1693120.

Thus, GCF of Fractions is 1/1693120.Finally, GCF of Fractions for 1518/704, 5389/4810 is 1/1693120.