Greatest Common Factor of 8032/914, 8518/7223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8032/914, 8518/7223

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 8032/914,8518/7223

Given fractions are 8032/914,8518/7223

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 8032,8518

Greatest Common Factor of Numerators i.e. GCF of 8032,8518 is 2 .

LCM of Denominators means LCM of 914,7223 as per the given fractions.

LCM of 914,7223 is 6601822 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8032,8518

GCF of Fractions 8032/914,8518/7223 is 2/6601822

2 8032, 8518
4016, 4259

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

Greatest Common Factor of 8032,8518 By Matching Biggest Common Factor Method

Greatest Common Factor of 8032,8518 By Matching Biggest Common Factor Method

Factors of 8032

List of positive integer factors of 8032 that divides 8032 without a remainder.

1,2,4,8,16,32,251,502,1004,2008,4016,8032

Factors of 8518

List of positive integer factors of 8518 that divides 8518 without a remainder.

1,2,4259,8518

Greatest Common Factor

We found the factors 8032,8518 . The biggest common factor number is the GCF number.
So the greatest common factor 8032,8518 is 2.

Lets's calculate LCM of 914,7223

Given numbers has no common factors except 1. So, there LCM is their product i.e 6601822

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6601822

Therefore, the GCF of Fractions 8032/914,8518/7223 is 2/6601822

Least Common Multiple of 914,7223 with GCF Formula

Least Common Multiple of 914,7223 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 914,7223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(914,7223) = 1

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

GCF(914,7223) x common factors =1 x 1 = 1

LCM(914,7223) = ( 914 × 7223 ) / 1

LCM(914,7223) = 6601822 / 1

LCM(914,7223) = 6601822


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 8032/914, 8518/7223

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 8032/914, 8518/7223?

Answer: GCF of Numerators as per given numbers 8032/914, 8518/7223 is

GCF of Numerators i.e. for 8032,8518 is 2

LCM of denominators i.e. for 914,7223 is 6601822.

Thus, GCF of Fractions is 2/6601822.Finally, GCF of Fractions for 8032/914, 8518/7223 is 2/6601822.