Greatest Common Factor of 7310/514, 3445/2368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7310/514, 3445/2368

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 7310/514,3445/2368

Given fractions are 7310/514,3445/2368

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 7310,3445

Greatest Common Factor of Numerators i.e. GCF of 7310,3445 is 5 .

LCM of Denominators means LCM of 514,2368 as per the given fractions.

LCM of 514,2368 is 608576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7310,3445

GCF of Fractions 7310/514,3445/2368 is 5/608576

5 7310, 3445
1462, 689

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 7310,3445 By Matching Biggest Common Factor Method

Greatest Common Factor of 7310,3445 By Matching Biggest Common Factor Method

Factors of 7310

List of positive integer factors of 7310 that divides 7310 without a remainder.

1,2,5,10,17,34,43,85,86,170,215,430,731,1462,3655,7310

Factors of 3445

List of positive integer factors of 3445 that divides 3445 without a remainder.

1,5,13,53,65,265,689,3445

Greatest Common Factor

We found the factors 7310,3445 . The biggest common factor number is the GCF number.
So the greatest common factor 7310,3445 is 5.

Lets's calculate LCM of 514,2368

2 514, 2368
257, 1184

∴ So the LCM of the given numbers is 2 x 257 x 1184 = 608576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/608576

Therefore, the GCF of Fractions 7310/514,3445/2368 is 5/608576

Least Common Multiple of 514,2368 with GCF Formula

Least Common Multiple of 514,2368 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 514,2368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,2368) = 2

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

GCF(514,2368) x common factors =2 x 1 = 2

LCM(514,2368) = ( 514 × 2368 ) / 2

LCM(514,2368) = 1217152 / 2

LCM(514,2368) = 608576


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 7310/514, 3445/2368

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 7310/514, 3445/2368?

Answer: GCF of Numerators as per given numbers 7310/514, 3445/2368 is

GCF of Numerators i.e. for 7310,3445 is 5

LCM of denominators i.e. for 514,2368 is 608576.

Thus, GCF of Fractions is 5/608576.Finally, GCF of Fractions for 7310/514, 3445/2368 is 5/608576.