Greatest Common Factor of 7448/240, 8718/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7448/240, 8718/585

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 7448/240,8718/585

Given fractions are 7448/240,8718/585

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 7448,8718

Greatest Common Factor of Numerators i.e. GCF of 7448,8718 is 2 .

LCM of Denominators means LCM of 240,585 as per the given fractions.

LCM of 240,585 is 9360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7448,8718

GCF of Fractions 7448/240,8718/585 is 2/9360

2 7448, 8718
3724, 4359

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

Greatest Common Factor of 7448,8718 By Matching Biggest Common Factor Method

Greatest Common Factor of 7448,8718 By Matching Biggest Common Factor Method

Factors of 7448

List of positive integer factors of 7448 that divides 7448 without a remainder.

1,2,4,7,8,14,19,28,38,49,56,76,98,133,152,196,266,392,532,931,1064,1862,3724,7448

Factors of 8718

List of positive integer factors of 8718 that divides 8718 without a remainder.

1,2,3,6,1453,2906,4359,8718

Greatest Common Factor

We found the factors 7448,8718 . The biggest common factor number is the GCF number.
So the greatest common factor 7448,8718 is 2.

Lets's calculate LCM of 240,585

3 240, 585
5 80, 195
16, 39

∴ So the LCM of the given numbers is 3 x 5 x 16 x 39 = 9360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9360

Therefore, the GCF of Fractions 7448/240,8718/585 is 2/9360

Least Common Multiple of 240,585 with GCF Formula

Least Common Multiple of 240,585 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 240,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,585) = 15

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

GCF(240,585) x common factors =15 x 1 = 15

LCM(240,585) = ( 240 × 585 ) / 15

LCM(240,585) = 140400 / 15

LCM(240,585) = 9360


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 7448/240, 8718/585

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 7448/240, 8718/585?

Answer: GCF of Numerators as per given numbers 7448/240, 8718/585 is

GCF of Numerators i.e. for 7448,8718 is 2

LCM of denominators i.e. for 240,585 is 9360.

Thus, GCF of Fractions is 2/9360.Finally, GCF of Fractions for 7448/240, 8718/585 is 2/9360.