Greatest Common Factor of 7514/64, 8309/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7514/64, 8309/613

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 7514/64,8309/613

Given fractions are 7514/64,8309/613

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 7514,8309

Greatest Common Factor of Numerators i.e. GCF of 7514,8309 is 1 .

LCM of Denominators means LCM of 64,613 as per the given fractions.

LCM of 64,613 is 39232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7514,8309

GCF of Fractions 7514/64,8309/613 is 1/39232

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

Greatest Common Factor of 7514,8309 By Matching Biggest Common Factor Method

Greatest Common Factor of 7514,8309 By Matching Biggest Common Factor Method

Factors of 7514

List of positive integer factors of 7514 that divides 7514 without a remainder.

1,2,13,17,26,34,221,289,442,578,3757,7514

Factors of 8309

List of positive integer factors of 8309 that divides 8309 without a remainder.

1,7,1187,8309

Greatest Common Factor

We found the factors 7514,8309 . The biggest common factor number is the GCF number.
So the greatest common factor 7514,8309 is 1.

Lets's calculate LCM of 64,613

Given numbers has no common factors except 1. So, there LCM is their product i.e 39232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39232

Therefore, the GCF of Fractions 7514/64,8309/613 is 1/39232

Least Common Multiple of 64,613 with GCF Formula

Least Common Multiple of 64,613 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 64,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,613) = 1

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

GCF(64,613) x common factors =1 x 1 = 1

LCM(64,613) = ( 64 × 613 ) / 1

LCM(64,613) = 39232 / 1

LCM(64,613) = 39232


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 7514/64, 8309/613

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 7514/64, 8309/613?

Answer: GCF of Numerators as per given numbers 7514/64, 8309/613 is

GCF of Numerators i.e. for 7514,8309 is 1

LCM of denominators i.e. for 64,613 is 39232.

Thus, GCF of Fractions is 1/39232.Finally, GCF of Fractions for 7514/64, 8309/613 is 1/39232.