Greatest Common Factor of 5173/686, 7536/4914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5173/686, 7536/4914

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 5173/686,7536/4914

Given fractions are 5173/686,7536/4914

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 5173,7536

Greatest Common Factor of Numerators i.e. GCF of 5173,7536 is 1 .

LCM of Denominators means LCM of 686,4914 as per the given fractions.

LCM of 686,4914 is 240786 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5173,7536

GCF of Fractions 5173/686,7536/4914 is 1/240786

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

Greatest Common Factor of 5173,7536 By Matching Biggest Common Factor Method

Greatest Common Factor of 5173,7536 By Matching Biggest Common Factor Method

Factors of 5173

List of positive integer factors of 5173 that divides 5173 without a remainder.

1,7,739,5173

Factors of 7536

List of positive integer factors of 7536 that divides 7536 without a remainder.

1,2,3,4,6,8,12,16,24,48,157,314,471,628,942,1256,1884,2512,3768,7536

Greatest Common Factor

We found the factors 5173,7536 . The biggest common factor number is the GCF number.
So the greatest common factor 5173,7536 is 1.

Lets's calculate LCM of 686,4914

2 686, 4914
7 343, 2457
49, 351

∴ So the LCM of the given numbers is 2 x 7 x 49 x 351 = 240786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/240786

Therefore, the GCF of Fractions 5173/686,7536/4914 is 1/240786

Least Common Multiple of 686,4914 with GCF Formula

Least Common Multiple of 686,4914 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 686,4914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,4914) = 14

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

GCF(686,4914) x common factors =14 x 1 = 14

LCM(686,4914) = ( 686 × 4914 ) / 14

LCM(686,4914) = 3371004 / 14

LCM(686,4914) = 240786


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 5173/686, 7536/4914

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 5173/686, 7536/4914?

Answer: GCF of Numerators as per given numbers 5173/686, 7536/4914 is

GCF of Numerators i.e. for 5173,7536 is 1

LCM of denominators i.e. for 686,4914 is 240786.

Thus, GCF of Fractions is 1/240786.Finally, GCF of Fractions for 5173/686, 7536/4914 is 1/240786.