Greatest Common Factor of 7509/366, 7490/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7509/366, 7490/144

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 7509/366,7490/144

Given fractions are 7509/366,7490/144

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 7509,7490

Greatest Common Factor of Numerators i.e. GCF of 7509,7490 is 1 .

LCM of Denominators means LCM of 366,144 as per the given fractions.

LCM of 366,144 is 8784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7509,7490

GCF of Fractions 7509/366,7490/144 is 1/8784

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

Greatest Common Factor of 7509,7490 By Matching Biggest Common Factor Method

Greatest Common Factor of 7509,7490 By Matching Biggest Common Factor Method

Factors of 7509

List of positive integer factors of 7509 that divides 7509 without a remainder.

1,3,2503,7509

Factors of 7490

List of positive integer factors of 7490 that divides 7490 without a remainder.

1,2,5,7,10,14,35,70,107,214,535,749,1070,1498,3745,7490

Greatest Common Factor

We found the factors 7509,7490 . The biggest common factor number is the GCF number.
So the greatest common factor 7509,7490 is 1.

Lets's calculate LCM of 366,144

2 366, 144
3 183, 72
61, 24

∴ So the LCM of the given numbers is 2 x 3 x 61 x 24 = 8784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8784

Therefore, the GCF of Fractions 7509/366,7490/144 is 1/8784

Least Common Multiple of 366,144 with GCF Formula

Least Common Multiple of 366,144 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 366,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(366,144) = 6

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

GCF(366,144) x common factors =6 x 1 = 6

LCM(366,144) = ( 366 × 144 ) / 6

LCM(366,144) = 52704 / 6

LCM(366,144) = 8784


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 7509/366, 7490/144

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 7509/366, 7490/144?

Answer: GCF of Numerators as per given numbers 7509/366, 7490/144 is

GCF of Numerators i.e. for 7509,7490 is 1

LCM of denominators i.e. for 366,144 is 8784.

Thus, GCF of Fractions is 1/8784.Finally, GCF of Fractions for 7509/366, 7490/144 is 1/8784.