Greatest Common Factor of 5009/272, 9040/3660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5009/272, 9040/3660

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 5009/272,9040/3660

Given fractions are 5009/272,9040/3660

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 5009,9040

Greatest Common Factor of Numerators i.e. GCF of 5009,9040 is 1 .

LCM of Denominators means LCM of 272,3660 as per the given fractions.

LCM of 272,3660 is 248880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5009,9040

GCF of Fractions 5009/272,9040/3660 is 1/248880

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

Greatest Common Factor of 5009,9040 By Matching Biggest Common Factor Method

Greatest Common Factor of 5009,9040 By Matching Biggest Common Factor Method

Factors of 5009

List of positive integer factors of 5009 that divides 5009 without a remainder.

1,5009

Factors of 9040

List of positive integer factors of 9040 that divides 9040 without a remainder.

1,2,4,5,8,10,16,20,40,80,113,226,452,565,904,1130,1808,2260,4520,9040

Greatest Common Factor

We found the factors 5009,9040 . The biggest common factor number is the GCF number.
So the greatest common factor 5009,9040 is 1.

Lets's calculate LCM of 272,3660

2 272, 3660
2 136, 1830
68, 915

∴ So the LCM of the given numbers is 2 x 2 x 68 x 915 = 248880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248880

Therefore, the GCF of Fractions 5009/272,9040/3660 is 1/248880

Least Common Multiple of 272,3660 with GCF Formula

Least Common Multiple of 272,3660 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 272,3660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,3660) = 4

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

GCF(272,3660) x common factors =4 x 1 = 4

LCM(272,3660) = ( 272 × 3660 ) / 4

LCM(272,3660) = 995520 / 4

LCM(272,3660) = 248880


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 5009/272, 9040/3660

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 5009/272, 9040/3660?

Answer: GCF of Numerators as per given numbers 5009/272, 9040/3660 is

GCF of Numerators i.e. for 5009,9040 is 1

LCM of denominators i.e. for 272,3660 is 248880.

Thus, GCF of Fractions is 1/248880.Finally, GCF of Fractions for 5009/272, 9040/3660 is 1/248880.