Greatest Common Factor of 6908/629, 8233/4736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6908/629, 8233/4736

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 6908/629,8233/4736

Given fractions are 6908/629,8233/4736

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 6908,8233

Greatest Common Factor of Numerators i.e. GCF of 6908,8233 is 1 .

LCM of Denominators means LCM of 629,4736 as per the given fractions.

LCM of 629,4736 is 80512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6908,8233

GCF of Fractions 6908/629,8233/4736 is 1/80512

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

Greatest Common Factor of 6908,8233 By Matching Biggest Common Factor Method

Greatest Common Factor of 6908,8233 By Matching Biggest Common Factor Method

Factors of 6908

List of positive integer factors of 6908 that divides 6908 without a remainder.

1,2,4,11,22,44,157,314,628,1727,3454,6908

Factors of 8233

List of positive integer factors of 8233 that divides 8233 without a remainder.

1,8233

Greatest Common Factor

We found the factors 6908,8233 . The biggest common factor number is the GCF number.
So the greatest common factor 6908,8233 is 1.

Lets's calculate LCM of 629,4736

37 629, 4736
17, 128

∴ So the LCM of the given numbers is 37 x 17 x 128 = 80512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80512

Therefore, the GCF of Fractions 6908/629,8233/4736 is 1/80512

Least Common Multiple of 629,4736 with GCF Formula

Least Common Multiple of 629,4736 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 629,4736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(629,4736) = 37

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

GCF(629,4736) x common factors =37 x 1 = 37

LCM(629,4736) = ( 629 × 4736 ) / 37

LCM(629,4736) = 2978944 / 37

LCM(629,4736) = 80512


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 6908/629, 8233/4736

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 6908/629, 8233/4736?

Answer: GCF of Numerators as per given numbers 6908/629, 8233/4736 is

GCF of Numerators i.e. for 6908,8233 is 1

LCM of denominators i.e. for 629,4736 is 80512.

Thus, GCF of Fractions is 1/80512.Finally, GCF of Fractions for 6908/629, 8233/4736 is 1/80512.